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Finding the Third Proportional to 732,429 and 1,097,928

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Solution

The third proportional to 732,429 and 1,097,928 is: 1,645,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,429 : 1,097,928 = 1,097,928 : x
  2. Step 2: Convert to fraction form
    732,429/1,097,928 = 1,097,928/x
  3. Step 3: Cross multiply
    732,429x = 1,097,928 × 1,097,928
  4. Step 4: Simplify right side
    732,429x = 1,205,445,893,184
  5. Step 5: Solve for x
    x = 1,205,445,893,184/732,429
  6. Step 6: Final answer
    x = 1,645,819.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.