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Finding the Third Proportional to 422,505,368 and 907,484,524

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Solution

The third proportional to 422,505,368 and 907,484,524 is: 1,949,154,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505,368 : 907,484,524 = 907,484,524 : x
  2. Step 2: Convert to fraction form
    422,505,368/907,484,524 = 907,484,524/x
  3. Step 3: Cross multiply
    422,505,368x = 907,484,524 × 907,484,524
  4. Step 4: Simplify right side
    422,505,368x = 823,528,161,299,506,560
  5. Step 5: Solve for x
    x = 823,528,161,299,506,560/422,505,368
  6. Step 6: Final answer
    x = 1,949,154,315.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.