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Finding the Third Proportional to 433,055,894.70 and 889,069,397.59

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Solution

The third proportional to 433,055,894.70 and 889,069,397.59 is: 1,825,271,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055,894.70 : 889,069,397.59 = 889,069,397.59 : x
  2. Step 2: Convert to fraction form
    433,055,894.70/889,069,397.59 = 889,069,397.59/x
  3. Step 3: Cross multiply
    433,055,894.70x = 889,069,397.59 × 889,069,397.59
  4. Step 4: Simplify right side
    433,055,894.70x = 790,444,393,730,867,712
  5. Step 5: Solve for x
    x = 790,444,393,730,867,712/433,055,894.70
  6. Step 6: Final answer
    x = 1,825,271,064.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.