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Finding the Third Proportional to 1,008,878,610 and 1,420,104,310

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Solution

The third proportional to 1,008,878,610 and 1,420,104,310 is: 1,998,948,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,878,610 : 1,420,104,310 = 1,420,104,310 : x
  2. Step 2: Convert to fraction form
    1,008,878,610/1,420,104,310 = 1,420,104,310/x
  3. Step 3: Cross multiply
    1,008,878,610x = 1,420,104,310 × 1,420,104,310
  4. Step 4: Simplify right side
    1,008,878,610x = 2,016,696,251,280,576,000
  5. Step 5: Solve for x
    x = 2,016,696,251,280,576,000/1,008,878,610
  6. Step 6: Final answer
    x = 1,998,948,368.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.