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Finding the Third Proportional to 761,023 and 1,639,778

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Solution

The third proportional to 761,023 and 1,639,778 is: 3,533,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,023 : 1,639,778 = 1,639,778 : x
  2. Step 2: Convert to fraction form
    761,023/1,639,778 = 1,639,778/x
  3. Step 3: Cross multiply
    761,023x = 1,639,778 × 1,639,778
  4. Step 4: Simplify right side
    761,023x = 2,688,871,889,284
  5. Step 5: Solve for x
    x = 2,688,871,889,284/761,023
  6. Step 6: Final answer
    x = 3,533,233.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.