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Finding the Third Proportional to 1,064,780 and 1,608,260

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Solution

The third proportional to 1,064,780 and 1,608,260 is: 2,429,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,780 : 1,608,260 = 1,608,260 : x
  2. Step 2: Convert to fraction form
    1,064,780/1,608,260 = 1,608,260/x
  3. Step 3: Cross multiply
    1,064,780x = 1,608,260 × 1,608,260
  4. Step 4: Simplify right side
    1,064,780x = 2,586,500,227,600
  5. Step 5: Solve for x
    x = 2,586,500,227,600/1,064,780
  6. Step 6: Final answer
    x = 2,429,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.