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Finding the Third Proportional to 676,053 and 1,370,772

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Solution

The third proportional to 676,053 and 1,370,772 is: 2,779,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,053 : 1,370,772 = 1,370,772 : x
  2. Step 2: Convert to fraction form
    676,053/1,370,772 = 1,370,772/x
  3. Step 3: Cross multiply
    676,053x = 1,370,772 × 1,370,772
  4. Step 4: Simplify right side
    676,053x = 1,879,015,875,984
  5. Step 5: Solve for x
    x = 1,879,015,875,984/676,053
  6. Step 6: Final answer
    x = 2,779,391.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.