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Finding the Third Proportional to 919,454,184 and 2,042,981,712

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Solution

The third proportional to 919,454,184 and 2,042,981,712 is: 4,539,404,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,454,184 : 2,042,981,712 = 2,042,981,712 : x
  2. Step 2: Convert to fraction form
    919,454,184/2,042,981,712 = 2,042,981,712/x
  3. Step 3: Cross multiply
    919,454,184x = 2,042,981,712 × 2,042,981,712
  4. Step 4: Simplify right side
    919,454,184x = 4,173,774,275,566,450,688
  5. Step 5: Solve for x
    x = 4,173,774,275,566,450,688/919,454,184
  6. Step 6: Final answer
    x = 4,539,404,298.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.