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Finding the Third Proportional to 1,124,706 and 1,742,012

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Solution

The third proportional to 1,124,706 and 1,742,012 is: 2,698,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,706 : 1,742,012 = 1,742,012 : x
  2. Step 2: Convert to fraction form
    1,124,706/1,742,012 = 1,742,012/x
  3. Step 3: Cross multiply
    1,124,706x = 1,742,012 × 1,742,012
  4. Step 4: Simplify right side
    1,124,706x = 3,034,605,808,144
  5. Step 5: Solve for x
    x = 3,034,605,808,144/1,124,706
  6. Step 6: Final answer
    x = 2,698,132.50

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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.