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Finding the Third Proportional to 692,560 and 1,513,280

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Solution

The third proportional to 692,560 and 1,513,280 is: 3,306,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,560 : 1,513,280 = 1,513,280 : x
  2. Step 2: Convert to fraction form
    692,560/1,513,280 = 1,513,280/x
  3. Step 3: Cross multiply
    692,560x = 1,513,280 × 1,513,280
  4. Step 4: Simplify right side
    692,560x = 2,290,016,358,400
  5. Step 5: Solve for x
    x = 2,290,016,358,400/692,560
  6. Step 6: Final answer
    x = 3,306,596.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.