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Finding the Third Proportional to 713,044 and 1,585,478

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Solution

The third proportional to 713,044 and 1,585,478 is: 3,525,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,044 : 1,585,478 = 1,585,478 : x
  2. Step 2: Convert to fraction form
    713,044/1,585,478 = 1,585,478/x
  3. Step 3: Cross multiply
    713,044x = 1,585,478 × 1,585,478
  4. Step 4: Simplify right side
    713,044x = 2,513,740,488,484
  5. Step 5: Solve for x
    x = 2,513,740,488,484/713,044
  6. Step 6: Final answer
    x = 3,525,365.18

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Why These Related Problems?

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