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Finding the Third Proportional to 462,451,574 and 676,313,337

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Solution

The third proportional to 462,451,574 and 676,313,337 is: 989,075,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451,574 : 676,313,337 = 676,313,337 : x
  2. Step 2: Convert to fraction form
    462,451,574/676,313,337 = 676,313,337/x
  3. Step 3: Cross multiply
    462,451,574x = 676,313,337 × 676,313,337
  4. Step 4: Simplify right side
    462,451,574x = 457,399,729,804,075,584
  5. Step 5: Solve for x
    x = 457,399,729,804,075,584/462,451,574
  6. Step 6: Final answer
    x = 989,075,949.83

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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.