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Finding the Third Proportional to 706,444 and 1,513,896

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Solution

The third proportional to 706,444 and 1,513,896 is: 3,244,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,444 : 1,513,896 = 1,513,896 : x
  2. Step 2: Convert to fraction form
    706,444/1,513,896 = 1,513,896/x
  3. Step 3: Cross multiply
    706,444x = 1,513,896 × 1,513,896
  4. Step 4: Simplify right side
    706,444x = 2,291,881,098,816
  5. Step 5: Solve for x
    x = 2,291,881,098,816/706,444
  6. Step 6: Final answer
    x = 3,244,250.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.