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Finding the Third Proportional to 771,510 and 1,669,863

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Solution

The third proportional to 771,510 and 1,669,863 is: 3,614,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,510 : 1,669,863 = 1,669,863 : x
  2. Step 2: Convert to fraction form
    771,510/1,669,863 = 1,669,863/x
  3. Step 3: Cross multiply
    771,510x = 1,669,863 × 1,669,863
  4. Step 4: Simplify right side
    771,510x = 2,788,442,438,769
  5. Step 5: Solve for x
    x = 2,788,442,438,769/771,510
  6. Step 6: Final answer
    x = 3,614,266.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.