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Finding the Third Proportional to 506,535,876 and 756,822,012

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Solution

The third proportional to 506,535,876 and 756,822,012 is: 1,130,777,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,535,876 : 756,822,012 = 756,822,012 : x
  2. Step 2: Convert to fraction form
    506,535,876/756,822,012 = 756,822,012/x
  3. Step 3: Cross multiply
    506,535,876x = 756,822,012 × 756,822,012
  4. Step 4: Simplify right side
    506,535,876x = 572,779,557,847,728,128
  5. Step 5: Solve for x
    x = 572,779,557,847,728,128/506,535,876
  6. Step 6: Final answer
    x = 1,130,777,867.84

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