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Finding the Third Proportional to 759,681 and 1,774,786.50

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Solution

The third proportional to 759,681 and 1,774,786.50 is: 4,146,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,681 : 1,774,786.50 = 1,774,786.50 : x
  2. Step 2: Convert to fraction form
    759,681/1,774,786.50 = 1,774,786.50/x
  3. Step 3: Cross multiply
    759,681x = 1,774,786.50 × 1,774,786.50
  4. Step 4: Simplify right side
    759,681x = 3,149,867,120,582.25
  5. Step 5: Solve for x
    x = 3,149,867,120,582.25/759,681
  6. Step 6: Final answer
    x = 4,146,302.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.