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Finding the Third Proportional to 688,062 and 1,062,772

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Solution

The third proportional to 688,062 and 1,062,772 is: 1,641,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,062 : 1,062,772 = 1,062,772 : x
  2. Step 2: Convert to fraction form
    688,062/1,062,772 = 1,062,772/x
  3. Step 3: Cross multiply
    688,062x = 1,062,772 × 1,062,772
  4. Step 4: Simplify right side
    688,062x = 1,129,484,323,984
  5. Step 5: Solve for x
    x = 1,129,484,323,984/688,062
  6. Step 6: Final answer
    x = 1,641,544.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.