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Finding the Third Proportional to 713,102 and 1,566,154

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Solution

The third proportional to 713,102 and 1,566,154 is: 3,439,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,102 : 1,566,154 = 1,566,154 : x
  2. Step 2: Convert to fraction form
    713,102/1,566,154 = 1,566,154/x
  3. Step 3: Cross multiply
    713,102x = 1,566,154 × 1,566,154
  4. Step 4: Simplify right side
    713,102x = 2,452,838,351,716
  5. Step 5: Solve for x
    x = 2,452,838,351,716/713,102
  6. Step 6: Final answer
    x = 3,439,673.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.