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Finding the Third Proportional to 1,098,960 and 2,316,000

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Solution

The third proportional to 1,098,960 and 2,316,000 is: 4,880,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,960 : 2,316,000 = 2,316,000 : x
  2. Step 2: Convert to fraction form
    1,098,960/2,316,000 = 2,316,000/x
  3. Step 3: Cross multiply
    1,098,960x = 2,316,000 × 2,316,000
  4. Step 4: Simplify right side
    1,098,960x = 5,363,856,000,000
  5. Step 5: Solve for x
    x = 5,363,856,000,000/1,098,960
  6. Step 6: Final answer
    x = 4,880,847.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.