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Finding the Third Proportional to 716,546 and 1,564,084

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Solution

The third proportional to 716,546 and 1,564,084 is: 3,414,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,546 : 1,564,084 = 1,564,084 : x
  2. Step 2: Convert to fraction form
    716,546/1,564,084 = 1,564,084/x
  3. Step 3: Cross multiply
    716,546x = 1,564,084 × 1,564,084
  4. Step 4: Simplify right side
    716,546x = 2,446,358,759,056
  5. Step 5: Solve for x
    x = 2,446,358,759,056/716,546
  6. Step 6: Final answer
    x = 3,414,098.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.