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Finding the Third Proportional to 425,688 and 917,814

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Solution

The third proportional to 425,688 and 917,814 is: 1,978,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,688 : 917,814 = 917,814 : x
  2. Step 2: Convert to fraction form
    425,688/917,814 = 917,814/x
  3. Step 3: Cross multiply
    425,688x = 917,814 × 917,814
  4. Step 4: Simplify right side
    425,688x = 842,382,538,596
  5. Step 5: Solve for x
    x = 842,382,538,596/425,688
  6. Step 6: Final answer
    x = 1,978,873.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.