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Finding the Third Proportional to 768,587 and 1,227,830

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Solution

The third proportional to 768,587 and 1,227,830 is: 1,961,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,587 : 1,227,830 = 1,227,830 : x
  2. Step 2: Convert to fraction form
    768,587/1,227,830 = 1,227,830/x
  3. Step 3: Cross multiply
    768,587x = 1,227,830 × 1,227,830
  4. Step 4: Simplify right side
    768,587x = 1,507,566,508,900
  5. Step 5: Solve for x
    x = 1,507,566,508,900/768,587
  6. Step 6: Final answer
    x = 1,961,478.02

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.