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Finding the Third Proportional to 987,249,506 and 1,444,532,847

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Solution

The third proportional to 987,249,506 and 1,444,532,847 is: 2,113,624,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,249,506 : 1,444,532,847 = 1,444,532,847 : x
  2. Step 2: Convert to fraction form
    987,249,506/1,444,532,847 = 1,444,532,847/x
  3. Step 3: Cross multiply
    987,249,506x = 1,444,532,847 × 1,444,532,847
  4. Step 4: Simplify right side
    987,249,506x = 2,086,675,146,061,925,376
  5. Step 5: Solve for x
    x = 2,086,675,146,061,925,376/987,249,506
  6. Step 6: Final answer
    x = 2,113,624,907.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.