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Finding the Third Proportional to 653,045 and 1,008,681.50

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Solution

The third proportional to 653,045 and 1,008,681.50 is: 1,557,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,045 : 1,008,681.50 = 1,008,681.50 : x
  2. Step 2: Convert to fraction form
    653,045/1,008,681.50 = 1,008,681.50/x
  3. Step 3: Cross multiply
    653,045x = 1,008,681.50 × 1,008,681.50
  4. Step 4: Simplify right side
    653,045x = 1,017,438,368,442.25
  5. Step 5: Solve for x
    x = 1,017,438,368,442.25/653,045
  6. Step 6: Final answer
    x = 1,557,991.21

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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.