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Finding the Third Proportional to 834,653 and 1,802,362

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Solution

The third proportional to 834,653 and 1,802,362 is: 3,892,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,653 : 1,802,362 = 1,802,362 : x
  2. Step 2: Convert to fraction form
    834,653/1,802,362 = 1,802,362/x
  3. Step 3: Cross multiply
    834,653x = 1,802,362 × 1,802,362
  4. Step 4: Simplify right side
    834,653x = 3,248,508,779,044
  5. Step 5: Solve for x
    x = 3,248,508,779,044/834,653
  6. Step 6: Final answer
    x = 3,892,047.09

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