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Finding the Third Proportional to 712,937 and 1,585,264

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Solution

The third proportional to 712,937 and 1,585,264 is: 3,524,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,937 : 1,585,264 = 1,585,264 : x
  2. Step 2: Convert to fraction form
    712,937/1,585,264 = 1,585,264/x
  3. Step 3: Cross multiply
    712,937x = 1,585,264 × 1,585,264
  4. Step 4: Simplify right side
    712,937x = 2,513,061,949,696
  5. Step 5: Solve for x
    x = 2,513,061,949,696/712,937
  6. Step 6: Final answer
    x = 3,524,942.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.