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Finding the Third Proportional to 612,597 and 1,406,073

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Solution

The third proportional to 612,597 and 1,406,073 is: 3,227,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,597 : 1,406,073 = 1,406,073 : x
  2. Step 2: Convert to fraction form
    612,597/1,406,073 = 1,406,073/x
  3. Step 3: Cross multiply
    612,597x = 1,406,073 × 1,406,073
  4. Step 4: Simplify right side
    612,597x = 1,977,041,281,329
  5. Step 5: Solve for x
    x = 1,977,041,281,329/612,597
  6. Step 6: Final answer
    x = 3,227,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.