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Finding the Third Proportional to 641,749 and 986,501

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Solution

The third proportional to 641,749 and 986,501 is: 1,516,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,749 : 986,501 = 986,501 : x
  2. Step 2: Convert to fraction form
    641,749/986,501 = 986,501/x
  3. Step 3: Cross multiply
    641,749x = 986,501 × 986,501
  4. Step 4: Simplify right side
    641,749x = 973,184,223,001
  5. Step 5: Solve for x
    x = 973,184,223,001/641,749
  6. Step 6: Final answer
    x = 1,516,456.16

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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.