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Finding the Third Proportional to 870,689 and 1,345,437

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Solution

The third proportional to 870,689 and 1,345,437 is: 2,079,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,689 : 1,345,437 = 1,345,437 : x
  2. Step 2: Convert to fraction form
    870,689/1,345,437 = 1,345,437/x
  3. Step 3: Cross multiply
    870,689x = 1,345,437 × 1,345,437
  4. Step 4: Simplify right side
    870,689x = 1,810,200,720,969
  5. Step 5: Solve for x
    x = 1,810,200,720,969/870,689
  6. Step 6: Final answer
    x = 2,079,043.98

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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.