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Finding the Third Proportional to 781,916 and 1,698,320

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Solution

The third proportional to 781,916 and 1,698,320 is: 3,688,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,916 : 1,698,320 = 1,698,320 : x
  2. Step 2: Convert to fraction form
    781,916/1,698,320 = 1,698,320/x
  3. Step 3: Cross multiply
    781,916x = 1,698,320 × 1,698,320
  4. Step 4: Simplify right side
    781,916x = 2,884,290,822,400
  5. Step 5: Solve for x
    x = 2,884,290,822,400/781,916
  6. Step 6: Final answer
    x = 3,688,747.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.