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Finding the Third Proportional to 1,098,464 and 2,374,590

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Solution

The third proportional to 1,098,464 and 2,374,590 is: 5,133,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,464 : 2,374,590 = 2,374,590 : x
  2. Step 2: Convert to fraction form
    1,098,464/2,374,590 = 2,374,590/x
  3. Step 3: Cross multiply
    1,098,464x = 2,374,590 × 2,374,590
  4. Step 4: Simplify right side
    1,098,464x = 5,638,677,668,100
  5. Step 5: Solve for x
    x = 5,638,677,668,100/1,098,464
  6. Step 6: Final answer
    x = 5,133,238.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.