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Finding the Third Proportional to 1,896,023 and 4,146,763

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Solution

The third proportional to 1,896,023 and 4,146,763 is: 9,069,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,023 : 4,146,763 = 4,146,763 : x
  2. Step 2: Convert to fraction form
    1,896,023/4,146,763 = 4,146,763/x
  3. Step 3: Cross multiply
    1,896,023x = 4,146,763 × 4,146,763
  4. Step 4: Simplify right side
    1,896,023x = 17,195,643,378,169
  5. Step 5: Solve for x
    x = 17,195,643,378,169/1,896,023
  6. Step 6: Final answer
    x = 9,069,322.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.