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Finding the Third Proportional to 649,914 and 1,402,586

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Solution

The third proportional to 649,914 and 1,402,586 is: 3,026,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,914 : 1,402,586 = 1,402,586 : x
  2. Step 2: Convert to fraction form
    649,914/1,402,586 = 1,402,586/x
  3. Step 3: Cross multiply
    649,914x = 1,402,586 × 1,402,586
  4. Step 4: Simplify right side
    649,914x = 1,967,247,487,396
  5. Step 5: Solve for x
    x = 1,967,247,487,396/649,914
  6. Step 6: Final answer
    x = 3,026,935.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.