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Finding the Third Proportional to 1,072,746.28 and 1,620,054.42

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Solution

The third proportional to 1,072,746.28 and 1,620,054.42 is: 2,446,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,746.28 : 1,620,054.42 = 1,620,054.42 : x
  2. Step 2: Convert to fraction form
    1,072,746.28/1,620,054.42 = 1,620,054.42/x
  3. Step 3: Cross multiply
    1,072,746.28x = 1,620,054.42 × 1,620,054.42
  4. Step 4: Simplify right side
    1,072,746.28x = 2,624,576,329,836.74
  5. Step 5: Solve for x
    x = 2,624,576,329,836.74/1,072,746.28
  6. Step 6: Final answer
    x = 2,446,595.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.