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Finding the Third Proportional to 742,875 and 1,603,974

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Solution

The third proportional to 742,875 and 1,603,974 is: 3,463,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,875 : 1,603,974 = 1,603,974 : x
  2. Step 2: Convert to fraction form
    742,875/1,603,974 = 1,603,974/x
  3. Step 3: Cross multiply
    742,875x = 1,603,974 × 1,603,974
  4. Step 4: Simplify right side
    742,875x = 2,572,732,592,676
  5. Step 5: Solve for x
    x = 2,572,732,592,676/742,875
  6. Step 6: Final answer
    x = 3,463,210.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.