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Finding the Third Proportional to 746,590.64 and 1,152,891.07

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Solution

The third proportional to 746,590.64 and 1,152,891.07 is: 1,780,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,590.64 : 1,152,891.07 = 1,152,891.07 : x
  2. Step 2: Convert to fraction form
    746,590.64/1,152,891.07 = 1,152,891.07/x
  3. Step 3: Cross multiply
    746,590.64x = 1,152,891.07 × 1,152,891.07
  4. Step 4: Simplify right side
    746,590.64x = 1,329,157,820,006.30
  5. Step 5: Solve for x
    x = 1,329,157,820,006.30/746,590.64
  6. Step 6: Final answer
    x = 1,780,303.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.