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Finding the Third Proportional to 612,596 and 1,406,070

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Solution

The third proportional to 612,596 and 1,406,070 is: 3,227,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,596 : 1,406,070 = 1,406,070 : x
  2. Step 2: Convert to fraction form
    612,596/1,406,070 = 1,406,070/x
  3. Step 3: Cross multiply
    612,596x = 1,406,070 × 1,406,070
  4. Step 4: Simplify right side
    612,596x = 1,977,032,844,900
  5. Step 5: Solve for x
    x = 1,977,032,844,900/612,596
  6. Step 6: Final answer
    x = 3,227,302.90

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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.