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Finding the Third Proportional to 655,770 and 1,352,428

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Solution

The third proportional to 655,770 and 1,352,428 is: 2,789,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,770 : 1,352,428 = 1,352,428 : x
  2. Step 2: Convert to fraction form
    655,770/1,352,428 = 1,352,428/x
  3. Step 3: Cross multiply
    655,770x = 1,352,428 × 1,352,428
  4. Step 4: Simplify right side
    655,770x = 1,829,061,495,184
  5. Step 5: Solve for x
    x = 1,829,061,495,184/655,770
  6. Step 6: Final answer
    x = 2,789,181.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.