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Finding the Third Proportional to 730,755,468 and 1,055,815,458

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Solution

The third proportional to 730,755,468 and 1,055,815,458 is: 1,525,471,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,755,468 : 1,055,815,458 = 1,055,815,458 : x
  2. Step 2: Convert to fraction form
    730,755,468/1,055,815,458 = 1,055,815,458/x
  3. Step 3: Cross multiply
    730,755,468x = 1,055,815,458 × 1,055,815,458
  4. Step 4: Simplify right side
    730,755,468x = 1,114,746,281,351,749,760
  5. Step 5: Solve for x
    x = 1,114,746,281,351,749,760/730,755,468
  6. Step 6: Final answer
    x = 1,525,471,009.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.