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Finding the Third Proportional to 606,148,171 and 1,306,909,669

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Solution

The third proportional to 606,148,171 and 1,306,909,669 is: 2,817,814,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,148,171 : 1,306,909,669 = 1,306,909,669 : x
  2. Step 2: Convert to fraction form
    606,148,171/1,306,909,669 = 1,306,909,669/x
  3. Step 3: Cross multiply
    606,148,171x = 1,306,909,669 × 1,306,909,669
  4. Step 4: Simplify right side
    606,148,171x = 1,708,012,882,925,689,600
  5. Step 5: Solve for x
    x = 1,708,012,882,925,689,600/606,148,171
  6. Step 6: Final answer
    x = 2,817,814,132.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.