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Finding the Third Proportional to 623,532,666 and 871,735,413

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Solution

The third proportional to 623,532,666 and 871,735,413 is: 1,218,737,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,532,666 : 871,735,413 = 871,735,413 : x
  2. Step 2: Convert to fraction form
    623,532,666/871,735,413 = 871,735,413/x
  3. Step 3: Cross multiply
    623,532,666x = 871,735,413 × 871,735,413
  4. Step 4: Simplify right side
    623,532,666x = 759,922,630,278,280,576
  5. Step 5: Solve for x
    x = 759,922,630,278,280,576/623,532,666
  6. Step 6: Final answer
    x = 1,218,737,480.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.