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Finding the Third Proportional to 562,386.75 and 1,231,569

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Solution

The third proportional to 562,386.75 and 1,231,569 is: 2,697,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,386.75 : 1,231,569 = 1,231,569 : x
  2. Step 2: Convert to fraction form
    562,386.75/1,231,569 = 1,231,569/x
  3. Step 3: Cross multiply
    562,386.75x = 1,231,569 × 1,231,569
  4. Step 4: Simplify right side
    562,386.75x = 1,516,762,201,761
  5. Step 5: Solve for x
    x = 1,516,762,201,761/562,386.75
  6. Step 6: Final answer
    x = 2,697,009.13

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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.