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Finding the Third Proportional to 1,282,402 and 2,742,692

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Solution

The third proportional to 1,282,402 and 2,742,692 is: 5,865,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,402 : 2,742,692 = 2,742,692 : x
  2. Step 2: Convert to fraction form
    1,282,402/2,742,692 = 2,742,692/x
  3. Step 3: Cross multiply
    1,282,402x = 2,742,692 × 2,742,692
  4. Step 4: Simplify right side
    1,282,402x = 7,522,359,406,864
  5. Step 5: Solve for x
    x = 7,522,359,406,864/1,282,402
  6. Step 6: Final answer
    x = 5,865,835.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.