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Finding the Third Proportional to 1,565,102 and 2,096,391

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Solution

The third proportional to 1,565,102 and 2,096,391 is: 2,808,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,102 : 2,096,391 = 2,096,391 : x
  2. Step 2: Convert to fraction form
    1,565,102/2,096,391 = 2,096,391/x
  3. Step 3: Cross multiply
    1,565,102x = 2,096,391 × 2,096,391
  4. Step 4: Simplify right side
    1,565,102x = 4,394,855,224,881
  5. Step 5: Solve for x
    x = 4,394,855,224,881/1,565,102
  6. Step 6: Final answer
    x = 2,808,031.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.