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Finding the Third Proportional to 1,098,972 and 2,316,024

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Solution

The third proportional to 1,098,972 and 2,316,024 is: 4,880,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,972 : 2,316,024 = 2,316,024 : x
  2. Step 2: Convert to fraction form
    1,098,972/2,316,024 = 2,316,024/x
  3. Step 3: Cross multiply
    1,098,972x = 2,316,024 × 2,316,024
  4. Step 4: Simplify right side
    1,098,972x = 5,363,967,168,576
  5. Step 5: Solve for x
    x = 5,363,967,168,576/1,098,972
  6. Step 6: Final answer
    x = 4,880,895.21

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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.