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Finding the Third Proportional to 1,034,228,352 and 1,451,227,140

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Solution

The third proportional to 1,034,228,352 and 1,451,227,140 is: 2,036,358,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,228,352 : 1,451,227,140 = 1,451,227,140 : x
  2. Step 2: Convert to fraction form
    1,034,228,352/1,451,227,140 = 1,451,227,140/x
  3. Step 3: Cross multiply
    1,034,228,352x = 1,451,227,140 × 1,451,227,140
  4. Step 4: Simplify right side
    1,034,228,352x = 2,106,060,211,872,579,584
  5. Step 5: Solve for x
    x = 2,106,060,211,872,579,584/1,034,228,352
  6. Step 6: Final answer
    x = 2,036,358,999.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.