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Finding the Third Proportional to 875,772 and 1,895,480

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Solution

The third proportional to 875,772 and 1,895,480 is: 4,102,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,772 : 1,895,480 = 1,895,480 : x
  2. Step 2: Convert to fraction form
    875,772/1,895,480 = 1,895,480/x
  3. Step 3: Cross multiply
    875,772x = 1,895,480 × 1,895,480
  4. Step 4: Simplify right side
    875,772x = 3,592,844,430,400
  5. Step 5: Solve for x
    x = 3,592,844,430,400/875,772
  6. Step 6: Final answer
    x = 4,102,488.35

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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.