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Finding the Third Proportional to 974,538 and 1,499,842

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Solution

The third proportional to 974,538 and 1,499,842 is: 2,308,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,538 : 1,499,842 = 1,499,842 : x
  2. Step 2: Convert to fraction form
    974,538/1,499,842 = 1,499,842/x
  3. Step 3: Cross multiply
    974,538x = 1,499,842 × 1,499,842
  4. Step 4: Simplify right side
    974,538x = 2,249,526,024,964
  5. Step 5: Solve for x
    x = 2,249,526,024,964/974,538
  6. Step 6: Final answer
    x = 2,308,299.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.