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Finding the Third Proportional to 693,046 and 1,036,748

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Solution

The third proportional to 693,046 and 1,036,748 is: 1,550,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,046 : 1,036,748 = 1,036,748 : x
  2. Step 2: Convert to fraction form
    693,046/1,036,748 = 1,036,748/x
  3. Step 3: Cross multiply
    693,046x = 1,036,748 × 1,036,748
  4. Step 4: Simplify right side
    693,046x = 1,074,846,415,504
  5. Step 5: Solve for x
    x = 1,074,846,415,504/693,046
  6. Step 6: Final answer
    x = 1,550,901.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.