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Finding the Third Proportional to 1,090,683 and 2,281,590

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Solution

The third proportional to 1,090,683 and 2,281,590 is: 4,772,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,683 : 2,281,590 = 2,281,590 : x
  2. Step 2: Convert to fraction form
    1,090,683/2,281,590 = 2,281,590/x
  3. Step 3: Cross multiply
    1,090,683x = 2,281,590 × 2,281,590
  4. Step 4: Simplify right side
    1,090,683x = 5,205,652,928,100
  5. Step 5: Solve for x
    x = 5,205,652,928,100/1,090,683
  6. Step 6: Final answer
    x = 4,772,837.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.