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Finding the Third Proportional to 786,984 and 1,739,361

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Solution

The third proportional to 786,984 and 1,739,361 is: 3,844,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,984 : 1,739,361 = 1,739,361 : x
  2. Step 2: Convert to fraction form
    786,984/1,739,361 = 1,739,361/x
  3. Step 3: Cross multiply
    786,984x = 1,739,361 × 1,739,361
  4. Step 4: Simplify right side
    786,984x = 3,025,376,688,321
  5. Step 5: Solve for x
    x = 3,025,376,688,321/786,984
  6. Step 6: Final answer
    x = 3,844,267.09

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.