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Finding the Third Proportional to 1,708,142 and 2,620,101

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Solution

The third proportional to 1,708,142 and 2,620,101 is: 4,018,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,142 : 2,620,101 = 2,620,101 : x
  2. Step 2: Convert to fraction form
    1,708,142/2,620,101 = 2,620,101/x
  3. Step 3: Cross multiply
    1,708,142x = 2,620,101 × 2,620,101
  4. Step 4: Simplify right side
    1,708,142x = 6,864,929,250,201
  5. Step 5: Solve for x
    x = 6,864,929,250,201/1,708,142
  6. Step 6: Final answer
    x = 4,018,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.