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Finding the Third Proportional to 610,974 and 1,341,492

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Solution

The third proportional to 610,974 and 1,341,492 is: 2,945,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,974 : 1,341,492 = 1,341,492 : x
  2. Step 2: Convert to fraction form
    610,974/1,341,492 = 1,341,492/x
  3. Step 3: Cross multiply
    610,974x = 1,341,492 × 1,341,492
  4. Step 4: Simplify right side
    610,974x = 1,799,600,786,064
  5. Step 5: Solve for x
    x = 1,799,600,786,064/610,974
  6. Step 6: Final answer
    x = 2,945,462.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.