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Finding the Third Proportional to 630,140 and 956,860

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Solution

The third proportional to 630,140 and 956,860 is: 1,452,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,140 : 956,860 = 956,860 : x
  2. Step 2: Convert to fraction form
    630,140/956,860 = 956,860/x
  3. Step 3: Cross multiply
    630,140x = 956,860 × 956,860
  4. Step 4: Simplify right side
    630,140x = 915,581,059,600
  5. Step 5: Solve for x
    x = 915,581,059,600/630,140
  6. Step 6: Final answer
    x = 1,452,980.38

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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.