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Finding the Third Proportional to 1,125,946 and 1,742,774

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Solution

The third proportional to 1,125,946 and 1,742,774 is: 2,697,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,946 : 1,742,774 = 1,742,774 : x
  2. Step 2: Convert to fraction form
    1,125,946/1,742,774 = 1,742,774/x
  3. Step 3: Cross multiply
    1,125,946x = 1,742,774 × 1,742,774
  4. Step 4: Simplify right side
    1,125,946x = 3,037,261,215,076
  5. Step 5: Solve for x
    x = 3,037,261,215,076/1,125,946
  6. Step 6: Final answer
    x = 2,697,519.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.