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Finding the Third Proportional to 702,462.38 and 1,045,915.88

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Solution

The third proportional to 702,462.38 and 1,045,915.88 is: 1,557,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,462.38 : 1,045,915.88 = 1,045,915.88 : x
  2. Step 2: Convert to fraction form
    702,462.38/1,045,915.88 = 1,045,915.88/x
  3. Step 3: Cross multiply
    702,462.38x = 1,045,915.88 × 1,045,915.88
  4. Step 4: Simplify right side
    702,462.38x = 1,093,940,017,577.02
  5. Step 5: Solve for x
    x = 1,093,940,017,577.02/702,462.38
  6. Step 6: Final answer
    x = 1,557,293.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.