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Finding the Third Proportional to 709,222 and 1,567,486

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Solution

The third proportional to 709,222 and 1,567,486 is: 3,464,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,222 : 1,567,486 = 1,567,486 : x
  2. Step 2: Convert to fraction form
    709,222/1,567,486 = 1,567,486/x
  3. Step 3: Cross multiply
    709,222x = 1,567,486 × 1,567,486
  4. Step 4: Simplify right side
    709,222x = 2,457,012,360,196
  5. Step 5: Solve for x
    x = 2,457,012,360,196/709,222
  6. Step 6: Final answer
    x = 3,464,376.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.