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Finding the Third Proportional to 750,644 and 1,164,045

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Solution

The third proportional to 750,644 and 1,164,045 is: 1,805,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,644 : 1,164,045 = 1,164,045 : x
  2. Step 2: Convert to fraction form
    750,644/1,164,045 = 1,164,045/x
  3. Step 3: Cross multiply
    750,644x = 1,164,045 × 1,164,045
  4. Step 4: Simplify right side
    750,644x = 1,355,000,762,025
  5. Step 5: Solve for x
    x = 1,355,000,762,025/750,644
  6. Step 6: Final answer
    x = 1,805,117.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.