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Finding the Third Proportional to 713,040 and 1,585,470

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Solution

The third proportional to 713,040 and 1,585,470 is: 3,525,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,040 : 1,585,470 = 1,585,470 : x
  2. Step 2: Convert to fraction form
    713,040/1,585,470 = 1,585,470/x
  3. Step 3: Cross multiply
    713,040x = 1,585,470 × 1,585,470
  4. Step 4: Simplify right side
    713,040x = 2,513,715,120,900
  5. Step 5: Solve for x
    x = 2,513,715,120,900/713,040
  6. Step 6: Final answer
    x = 3,525,349.38

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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.