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Finding the Third Proportional to 1,458,290 and 2,283,011

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Solution

The third proportional to 1,458,290 and 2,283,011 is: 3,574,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,290 : 2,283,011 = 2,283,011 : x
  2. Step 2: Convert to fraction form
    1,458,290/2,283,011 = 2,283,011/x
  3. Step 3: Cross multiply
    1,458,290x = 2,283,011 × 2,283,011
  4. Step 4: Simplify right side
    1,458,290x = 5,212,139,226,121
  5. Step 5: Solve for x
    x = 5,212,139,226,121/1,458,290
  6. Step 6: Final answer
    x = 3,574,144.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.