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Finding the Third Proportional to 612,594 and 1,406,065.50

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Solution

The third proportional to 612,594 and 1,406,065.50 is: 3,227,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,594 : 1,406,065.50 = 1,406,065.50 : x
  2. Step 2: Convert to fraction form
    612,594/1,406,065.50 = 1,406,065.50/x
  3. Step 3: Cross multiply
    612,594x = 1,406,065.50 × 1,406,065.50
  4. Step 4: Simplify right side
    612,594x = 1,977,020,190,290.25
  5. Step 5: Solve for x
    x = 1,977,020,190,290.25/612,594
  6. Step 6: Final answer
    x = 3,227,292.78

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