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Finding the Third Proportional to 1,144,089 and 1,730,894

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Solution

The third proportional to 1,144,089 and 1,730,894 is: 2,618,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,089 : 1,730,894 = 1,730,894 : x
  2. Step 2: Convert to fraction form
    1,144,089/1,730,894 = 1,730,894/x
  3. Step 3: Cross multiply
    1,144,089x = 1,730,894 × 1,730,894
  4. Step 4: Simplify right side
    1,144,089x = 2,995,994,039,236
  5. Step 5: Solve for x
    x = 2,995,994,039,236/1,144,089
  6. Step 6: Final answer
    x = 2,618,672.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.