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Finding the Third Proportional to 419,447,984 and 651,255,819

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Solution

The third proportional to 419,447,984 and 651,255,819 is: 1,011,172,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,447,984 : 651,255,819 = 651,255,819 : x
  2. Step 2: Convert to fraction form
    419,447,984/651,255,819 = 651,255,819/x
  3. Step 3: Cross multiply
    419,447,984x = 651,255,819 × 651,255,819
  4. Step 4: Simplify right side
    419,447,984x = 424,134,141,781,360,768
  5. Step 5: Solve for x
    x = 424,134,141,781,360,768/419,447,984
  6. Step 6: Final answer
    x = 1,011,172,202.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.