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Finding the Third Proportional to 723,354 and 1,528,720

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Solution

The third proportional to 723,354 and 1,528,720 is: 3,230,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,354 : 1,528,720 = 1,528,720 : x
  2. Step 2: Convert to fraction form
    723,354/1,528,720 = 1,528,720/x
  3. Step 3: Cross multiply
    723,354x = 1,528,720 × 1,528,720
  4. Step 4: Simplify right side
    723,354x = 2,336,984,838,400
  5. Step 5: Solve for x
    x = 2,336,984,838,400/723,354
  6. Step 6: Final answer
    x = 3,230,762.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.