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Finding the Third Proportional to 614,960 and 1,346,560

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Solution

The third proportional to 614,960 and 1,346,560 is: 2,948,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,960 : 1,346,560 = 1,346,560 : x
  2. Step 2: Convert to fraction form
    614,960/1,346,560 = 1,346,560/x
  3. Step 3: Cross multiply
    614,960x = 1,346,560 × 1,346,560
  4. Step 4: Simplify right side
    614,960x = 1,813,223,833,600
  5. Step 5: Solve for x
    x = 1,813,223,833,600/614,960
  6. Step 6: Final answer
    x = 2,948,523.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.