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Finding the Third Proportional to 693,117 and 1,029,510

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Solution

The third proportional to 693,117 and 1,029,510 is: 1,529,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,117 : 1,029,510 = 1,029,510 : x
  2. Step 2: Convert to fraction form
    693,117/1,029,510 = 1,029,510/x
  3. Step 3: Cross multiply
    693,117x = 1,029,510 × 1,029,510
  4. Step 4: Simplify right side
    693,117x = 1,059,890,840,100
  5. Step 5: Solve for x
    x = 1,059,890,840,100/693,117
  6. Step 6: Final answer
    x = 1,529,165.84

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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.