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Finding the Third Proportional to 713,565 and 1,497,195

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Solution

The third proportional to 713,565 and 1,497,195 is: 3,141,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,565 : 1,497,195 = 1,497,195 : x
  2. Step 2: Convert to fraction form
    713,565/1,497,195 = 1,497,195/x
  3. Step 3: Cross multiply
    713,565x = 1,497,195 × 1,497,195
  4. Step 4: Simplify right side
    713,565x = 2,241,592,868,025
  5. Step 5: Solve for x
    x = 2,241,592,868,025/713,565
  6. Step 6: Final answer
    x = 3,141,399.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.