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Finding the Third Proportional to 736,818 and 1,107,963

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Solution

The third proportional to 736,818 and 1,107,963 is: 1,666,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,818 : 1,107,963 = 1,107,963 : x
  2. Step 2: Convert to fraction form
    736,818/1,107,963 = 1,107,963/x
  3. Step 3: Cross multiply
    736,818x = 1,107,963 × 1,107,963
  4. Step 4: Simplify right side
    736,818x = 1,227,582,009,369
  5. Step 5: Solve for x
    x = 1,227,582,009,369/736,818
  6. Step 6: Final answer
    x = 1,666,058.66

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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.