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Finding the Third Proportional to 1,846,588 and 2,762,502

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Solution

The third proportional to 1,846,588 and 2,762,502 is: 4,132,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,588 : 2,762,502 = 2,762,502 : x
  2. Step 2: Convert to fraction form
    1,846,588/2,762,502 = 2,762,502/x
  3. Step 3: Cross multiply
    1,846,588x = 2,762,502 × 2,762,502
  4. Step 4: Simplify right side
    1,846,588x = 7,631,417,300,004
  5. Step 5: Solve for x
    x = 7,631,417,300,004/1,846,588
  6. Step 6: Final answer
    x = 4,132,712.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.