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Finding the Third Proportional to 1,041,549,324 and 2,228,060,788

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Solution

The third proportional to 1,041,549,324 and 2,228,060,788 is: 4,766,221,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,549,324 : 2,228,060,788 = 2,228,060,788 : x
  2. Step 2: Convert to fraction form
    1,041,549,324/2,228,060,788 = 2,228,060,788/x
  3. Step 3: Cross multiply
    1,041,549,324x = 2,228,060,788 × 2,228,060,788
  4. Step 4: Simplify right side
    1,041,549,324x = 4,964,254,875,023,180,800
  5. Step 5: Solve for x
    x = 4,964,254,875,023,180,800/1,041,549,324
  6. Step 6: Final answer
    x = 4,766,221,589.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.