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Finding the Third Proportional to 430,623 and 942,894

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Solution

The third proportional to 430,623 and 942,894 is: 2,064,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,623 : 942,894 = 942,894 : x
  2. Step 2: Convert to fraction form
    430,623/942,894 = 942,894/x
  3. Step 3: Cross multiply
    430,623x = 942,894 × 942,894
  4. Step 4: Simplify right side
    430,623x = 889,049,095,236
  5. Step 5: Solve for x
    x = 889,049,095,236/430,623
  6. Step 6: Final answer
    x = 2,064,564.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.