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Finding the Third Proportional to 1,465,843 and 2,242,358

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Solution

The third proportional to 1,465,843 and 2,242,358 is: 3,430,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,843 : 2,242,358 = 2,242,358 : x
  2. Step 2: Convert to fraction form
    1,465,843/2,242,358 = 2,242,358/x
  3. Step 3: Cross multiply
    1,465,843x = 2,242,358 × 2,242,358
  4. Step 4: Simplify right side
    1,465,843x = 5,028,169,400,164
  5. Step 5: Solve for x
    x = 5,028,169,400,164/1,465,843
  6. Step 6: Final answer
    x = 3,430,223.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.