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Finding the Third Proportional to 713,147 and 1,566,262

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Solution

The third proportional to 713,147 and 1,566,262 is: 3,439,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,147 : 1,566,262 = 1,566,262 : x
  2. Step 2: Convert to fraction form
    713,147/1,566,262 = 1,566,262/x
  3. Step 3: Cross multiply
    713,147x = 1,566,262 × 1,566,262
  4. Step 4: Simplify right side
    713,147x = 2,453,176,652,644
  5. Step 5: Solve for x
    x = 2,453,176,652,644/713,147
  6. Step 6: Final answer
    x = 3,439,931.25

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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.