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Finding the Third Proportional to 418,967,494 and 910,454,814

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Solution

The third proportional to 418,967,494 and 910,454,814 is: 1,978,501,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,967,494 : 910,454,814 = 910,454,814 : x
  2. Step 2: Convert to fraction form
    418,967,494/910,454,814 = 910,454,814/x
  3. Step 3: Cross multiply
    418,967,494x = 910,454,814 × 910,454,814
  4. Step 4: Simplify right side
    418,967,494x = 828,927,968,335,774,592
  5. Step 5: Solve for x
    x = 828,927,968,335,774,592/418,967,494
  6. Step 6: Final answer
    x = 1,978,501,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.