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Finding the Third Proportional to 649,776 and 1,000,032

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Solution

The third proportional to 649,776 and 1,000,032 is: 1,539,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,776 : 1,000,032 = 1,000,032 : x
  2. Step 2: Convert to fraction form
    649,776/1,000,032 = 1,000,032/x
  3. Step 3: Cross multiply
    649,776x = 1,000,032 × 1,000,032
  4. Step 4: Simplify right side
    649,776x = 1,000,064,001,024
  5. Step 5: Solve for x
    x = 1,000,064,001,024/649,776
  6. Step 6: Final answer
    x = 1,539,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.