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Finding the Third Proportional to 834,651 and 1,802,358

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Solution

The third proportional to 834,651 and 1,802,358 is: 3,892,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,651 : 1,802,358 = 1,802,358 : x
  2. Step 2: Convert to fraction form
    834,651/1,802,358 = 1,802,358/x
  3. Step 3: Cross multiply
    834,651x = 1,802,358 × 1,802,358
  4. Step 4: Simplify right side
    834,651x = 3,248,494,360,164
  5. Step 5: Solve for x
    x = 3,248,494,360,164/834,651
  6. Step 6: Final answer
    x = 3,892,039.14

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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.