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Finding the Third Proportional to 731,492 and 1,564,382

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Solution

The third proportional to 731,492 and 1,564,382 is: 3,345,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,492 : 1,564,382 = 1,564,382 : x
  2. Step 2: Convert to fraction form
    731,492/1,564,382 = 1,564,382/x
  3. Step 3: Cross multiply
    731,492x = 1,564,382 × 1,564,382
  4. Step 4: Simplify right side
    731,492x = 2,447,291,041,924
  5. Step 5: Solve for x
    x = 2,447,291,041,924/731,492
  6. Step 6: Final answer
    x = 3,345,615.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.