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Finding the Third Proportional to 759,708 and 1,774,854

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Solution

The third proportional to 759,708 and 1,774,854 is: 4,146,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,708 : 1,774,854 = 1,774,854 : x
  2. Step 2: Convert to fraction form
    759,708/1,774,854 = 1,774,854/x
  3. Step 3: Cross multiply
    759,708x = 1,774,854 × 1,774,854
  4. Step 4: Simplify right side
    759,708x = 3,150,106,721,316
  5. Step 5: Solve for x
    x = 3,150,106,721,316/759,708
  6. Step 6: Final answer
    x = 4,146,470.38

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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.