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Finding the Third Proportional to 1,018,142 and 2,106,746

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Solution

The third proportional to 1,018,142 and 2,106,746 is: 4,359,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,142 : 2,106,746 = 2,106,746 : x
  2. Step 2: Convert to fraction form
    1,018,142/2,106,746 = 2,106,746/x
  3. Step 3: Cross multiply
    1,018,142x = 2,106,746 × 2,106,746
  4. Step 4: Simplify right side
    1,018,142x = 4,438,378,708,516
  5. Step 5: Solve for x
    x = 4,438,378,708,516/1,018,142
  6. Step 6: Final answer
    x = 4,359,292.43

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.