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Finding the Third Proportional to 623,460 and 1,363,548

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Solution

The third proportional to 623,460 and 1,363,548 is: 2,982,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,460 : 1,363,548 = 1,363,548 : x
  2. Step 2: Convert to fraction form
    623,460/1,363,548 = 1,363,548/x
  3. Step 3: Cross multiply
    623,460x = 1,363,548 × 1,363,548
  4. Step 4: Simplify right side
    623,460x = 1,859,263,148,304
  5. Step 5: Solve for x
    x = 1,859,263,148,304/623,460
  6. Step 6: Final answer
    x = 2,982,169.10

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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.