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Finding the Third Proportional to 2,232,800 and 4,654,528

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Solution

The third proportional to 2,232,800 and 4,654,528 is: 9,702,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,800 : 4,654,528 = 4,654,528 : x
  2. Step 2: Convert to fraction form
    2,232,800/4,654,528 = 4,654,528/x
  3. Step 3: Cross multiply
    2,232,800x = 4,654,528 × 4,654,528
  4. Step 4: Simplify right side
    2,232,800x = 21,664,630,902,784
  5. Step 5: Solve for x
    x = 21,664,630,902,784/2,232,800
  6. Step 6: Final answer
    x = 9,702,898.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.