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Finding the Third Proportional to 623,248 and 1,352,480

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Solution

The third proportional to 623,248 and 1,352,480 is: 2,934,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,248 : 1,352,480 = 1,352,480 : x
  2. Step 2: Convert to fraction form
    623,248/1,352,480 = 1,352,480/x
  3. Step 3: Cross multiply
    623,248x = 1,352,480 × 1,352,480
  4. Step 4: Simplify right side
    623,248x = 1,829,202,150,400
  5. Step 5: Solve for x
    x = 1,829,202,150,400/623,248
  6. Step 6: Final answer
    x = 2,934,950.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.