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Finding the Third Proportional to 898,746 and 1,264,146

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Solution

The third proportional to 898,746 and 1,264,146 is: 1,778,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,746 : 1,264,146 = 1,264,146 : x
  2. Step 2: Convert to fraction form
    898,746/1,264,146 = 1,264,146/x
  3. Step 3: Cross multiply
    898,746x = 1,264,146 × 1,264,146
  4. Step 4: Simplify right side
    898,746x = 1,598,065,109,316
  5. Step 5: Solve for x
    x = 1,598,065,109,316/898,746
  6. Step 6: Final answer
    x = 1,778,105.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.