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Finding the Third Proportional to 1,521,521 and 2,354,709

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Solution

The third proportional to 1,521,521 and 2,354,709 is: 3,644,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521,521 : 2,354,709 = 2,354,709 : x
  2. Step 2: Convert to fraction form
    1,521,521/2,354,709 = 2,354,709/x
  3. Step 3: Cross multiply
    1,521,521x = 2,354,709 × 2,354,709
  4. Step 4: Simplify right side
    1,521,521x = 5,544,654,474,681
  5. Step 5: Solve for x
    x = 5,544,654,474,681/1,521,521
  6. Step 6: Final answer
    x = 3,644,152.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.