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Finding the Third Proportional to 429,034.22 and 931,877.16

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Solution

The third proportional to 429,034.22 and 931,877.16 is: 2,024,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,034.22 : 931,877.16 = 931,877.16 : x
  2. Step 2: Convert to fraction form
    429,034.22/931,877.16 = 931,877.16/x
  3. Step 3: Cross multiply
    429,034.22x = 931,877.16 × 931,877.16
  4. Step 4: Simplify right side
    429,034.22x = 868,395,034,340.59
  5. Step 5: Solve for x
    x = 868,395,034,340.59/429,034.22
  6. Step 6: Final answer
    x = 2,024,069.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.