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Finding the Third Proportional to 416,034 and 898,362

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Solution

The third proportional to 416,034 and 898,362 is: 1,939,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,034 : 898,362 = 898,362 : x
  2. Step 2: Convert to fraction form
    416,034/898,362 = 898,362/x
  3. Step 3: Cross multiply
    416,034x = 898,362 × 898,362
  4. Step 4: Simplify right side
    416,034x = 807,054,283,044
  5. Step 5: Solve for x
    x = 807,054,283,044/416,034
  6. Step 6: Final answer
    x = 1,939,875.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.