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Finding the Third Proportional to 712,386 and 1,003,218.75

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Solution

The third proportional to 712,386 and 1,003,218.75 is: 1,412,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,386 : 1,003,218.75 = 1,003,218.75 : x
  2. Step 2: Convert to fraction form
    712,386/1,003,218.75 = 1,003,218.75/x
  3. Step 3: Cross multiply
    712,386x = 1,003,218.75 × 1,003,218.75
  4. Step 4: Simplify right side
    712,386x = 1,006,447,860,351.56
  5. Step 5: Solve for x
    x = 1,006,447,860,351.56/712,386
  6. Step 6: Final answer
    x = 1,412,784.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.