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Finding the Third Proportional to 726,465 and 1,583,720

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Solution

The third proportional to 726,465 and 1,583,720 is: 3,452,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,465 : 1,583,720 = 1,583,720 : x
  2. Step 2: Convert to fraction form
    726,465/1,583,720 = 1,583,720/x
  3. Step 3: Cross multiply
    726,465x = 1,583,720 × 1,583,720
  4. Step 4: Simplify right side
    726,465x = 2,508,169,038,400
  5. Step 5: Solve for x
    x = 2,508,169,038,400/726,465
  6. Step 6: Final answer
    x = 3,452,566.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.