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Finding the Third Proportional to 580,616 and 1,244,176

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Solution

The third proportional to 580,616 and 1,244,176 is: 2,666,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,616 : 1,244,176 = 1,244,176 : x
  2. Step 2: Convert to fraction form
    580,616/1,244,176 = 1,244,176/x
  3. Step 3: Cross multiply
    580,616x = 1,244,176 × 1,244,176
  4. Step 4: Simplify right side
    580,616x = 1,547,973,918,976
  5. Step 5: Solve for x
    x = 1,547,973,918,976/580,616
  6. Step 6: Final answer
    x = 2,666,088.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.