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Finding the Third Proportional to 485,415,614 and 1,069,774,389

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Solution

The third proportional to 485,415,614 and 1,069,774,389 is: 2,357,602,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,415,614 : 1,069,774,389 = 1,069,774,389 : x
  2. Step 2: Convert to fraction form
    485,415,614/1,069,774,389 = 1,069,774,389/x
  3. Step 3: Cross multiply
    485,415,614x = 1,069,774,389 × 1,069,774,389
  4. Step 4: Simplify right side
    485,415,614x = 1,144,417,243,360,323,328
  5. Step 5: Solve for x
    x = 1,144,417,243,360,323,328/485,415,614
  6. Step 6: Final answer
    x = 2,357,602,867.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.