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Finding the Third Proportional to 612,737 and 1,346,421

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Solution

The third proportional to 612,737 and 1,346,421 is: 2,958,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,737 : 1,346,421 = 1,346,421 : x
  2. Step 2: Convert to fraction form
    612,737/1,346,421 = 1,346,421/x
  3. Step 3: Cross multiply
    612,737x = 1,346,421 × 1,346,421
  4. Step 4: Simplify right side
    612,737x = 1,812,849,509,241
  5. Step 5: Solve for x
    x = 1,812,849,509,241/612,737
  6. Step 6: Final answer
    x = 2,958,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.