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Finding the Third Proportional to 689,730 and 1,064,123

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Solution

The third proportional to 689,730 and 1,064,123 is: 1,641,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,730 : 1,064,123 = 1,064,123 : x
  2. Step 2: Convert to fraction form
    689,730/1,064,123 = 1,064,123/x
  3. Step 3: Cross multiply
    689,730x = 1,064,123 × 1,064,123
  4. Step 4: Simplify right side
    689,730x = 1,132,357,759,129
  5. Step 5: Solve for x
    x = 1,132,357,759,129/689,730
  6. Step 6: Final answer
    x = 1,641,740.62

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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.