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Finding the Third Proportional to 761,792 and 1,454,464

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Solution

The third proportional to 761,792 and 1,454,464 is: 2,776,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,792 : 1,454,464 = 1,454,464 : x
  2. Step 2: Convert to fraction form
    761,792/1,454,464 = 1,454,464/x
  3. Step 3: Cross multiply
    761,792x = 1,454,464 × 1,454,464
  4. Step 4: Simplify right side
    761,792x = 2,115,465,527,296
  5. Step 5: Solve for x
    x = 2,115,465,527,296/761,792
  6. Step 6: Final answer
    x = 2,776,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.