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Finding the Third Proportional to 732,264 and 1,710,780

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Solution

The third proportional to 732,264 and 1,710,780 is: 3,996,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,264 : 1,710,780 = 1,710,780 : x
  2. Step 2: Convert to fraction form
    732,264/1,710,780 = 1,710,780/x
  3. Step 3: Cross multiply
    732,264x = 1,710,780 × 1,710,780
  4. Step 4: Simplify right side
    732,264x = 2,926,768,208,400
  5. Step 5: Solve for x
    x = 2,926,768,208,400/732,264
  6. Step 6: Final answer
    x = 3,996,875.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.