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Finding the Third Proportional to 1,834,657 and 2,698,058.50

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Solution

The third proportional to 1,834,657 and 2,698,058.50 is: 3,967,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,657 : 2,698,058.50 = 2,698,058.50 : x
  2. Step 2: Convert to fraction form
    1,834,657/2,698,058.50 = 2,698,058.50/x
  3. Step 3: Cross multiply
    1,834,657x = 2,698,058.50 × 2,698,058.50
  4. Step 4: Simplify right side
    1,834,657x = 7,279,519,669,422.25
  5. Step 5: Solve for x
    x = 7,279,519,669,422.25/1,834,657
  6. Step 6: Final answer
    x = 3,967,782.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.