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Finding the Third Proportional to 3,205,416 and 4,583,421

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Solution

The third proportional to 3,205,416 and 4,583,421 is: 6,553,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,416 : 4,583,421 = 4,583,421 : x
  2. Step 2: Convert to fraction form
    3,205,416/4,583,421 = 4,583,421/x
  3. Step 3: Cross multiply
    3,205,416x = 4,583,421 × 4,583,421
  4. Step 4: Simplify right side
    3,205,416x = 21,007,748,063,241
  5. Step 5: Solve for x
    x = 21,007,748,063,241/3,205,416
  6. Step 6: Final answer
    x = 6,553,828.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.