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Finding the Third Proportional to 1,953,264.38 and 4,222,368

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Solution

The third proportional to 1,953,264.38 and 4,222,368 is: 9,127,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,264.38 : 4,222,368 = 4,222,368 : x
  2. Step 2: Convert to fraction form
    1,953,264.38/4,222,368 = 4,222,368/x
  3. Step 3: Cross multiply
    1,953,264.38x = 4,222,368 × 4,222,368
  4. Step 4: Simplify right side
    1,953,264.38x = 17,828,391,527,424
  5. Step 5: Solve for x
    x = 17,828,391,527,424/1,953,264.38
  6. Step 6: Final answer
    x = 9,127,485.12

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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.