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Finding the Third Proportional to 770,374 and 1,717,776

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Solution

The third proportional to 770,374 and 1,717,776 is: 3,830,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,374 : 1,717,776 = 1,717,776 : x
  2. Step 2: Convert to fraction form
    770,374/1,717,776 = 1,717,776/x
  3. Step 3: Cross multiply
    770,374x = 1,717,776 × 1,717,776
  4. Step 4: Simplify right side
    770,374x = 2,950,754,386,176
  5. Step 5: Solve for x
    x = 2,950,754,386,176/770,374
  6. Step 6: Final answer
    x = 3,830,288.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.