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Finding the Third Proportional to 693,940 and 1,035,154

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Solution

The third proportional to 693,940 and 1,035,154 is: 1,544,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,940 : 1,035,154 = 1,035,154 : x
  2. Step 2: Convert to fraction form
    693,940/1,035,154 = 1,035,154/x
  3. Step 3: Cross multiply
    693,940x = 1,035,154 × 1,035,154
  4. Step 4: Simplify right side
    693,940x = 1,071,543,803,716
  5. Step 5: Solve for x
    x = 1,071,543,803,716/693,940
  6. Step 6: Final answer
    x = 1,544,144.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.