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Finding the Third Proportional to 867,437,986 and 1,321,495,594

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Solution

The third proportional to 867,437,986 and 1,321,495,594 is: 2,013,228,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,437,986 : 1,321,495,594 = 1,321,495,594 : x
  2. Step 2: Convert to fraction form
    867,437,986/1,321,495,594 = 1,321,495,594/x
  3. Step 3: Cross multiply
    867,437,986x = 1,321,495,594 × 1,321,495,594
  4. Step 4: Simplify right side
    867,437,986x = 1,746,350,604,961,412,864
  5. Step 5: Solve for x
    x = 1,746,350,604,961,412,864/867,437,986
  6. Step 6: Final answer
    x = 2,013,228,188.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.