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Finding the Third Proportional to 586,893 and 1,219,704

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Solution

The third proportional to 586,893 and 1,219,704 is: 2,534,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,893 : 1,219,704 = 1,219,704 : x
  2. Step 2: Convert to fraction form
    586,893/1,219,704 = 1,219,704/x
  3. Step 3: Cross multiply
    586,893x = 1,219,704 × 1,219,704
  4. Step 4: Simplify right side
    586,893x = 1,487,677,847,616
  5. Step 5: Solve for x
    x = 1,487,677,847,616/586,893
  6. Step 6: Final answer
    x = 2,534,836.58

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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.