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Finding the Third Proportional to 630,142 and 956,863

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Solution

The third proportional to 630,142 and 956,863 is: 1,452,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,142 : 956,863 = 956,863 : x
  2. Step 2: Convert to fraction form
    630,142/956,863 = 956,863/x
  3. Step 3: Cross multiply
    630,142x = 956,863 × 956,863
  4. Step 4: Simplify right side
    630,142x = 915,586,800,769
  5. Step 5: Solve for x
    x = 915,586,800,769/630,142
  6. Step 6: Final answer
    x = 1,452,984.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.