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Finding the Third Proportional to 421,751.25 and 910,854

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Solution

The third proportional to 421,751.25 and 910,854 is: 1,967,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,751.25 : 910,854 = 910,854 : x
  2. Step 2: Convert to fraction form
    421,751.25/910,854 = 910,854/x
  3. Step 3: Cross multiply
    421,751.25x = 910,854 × 910,854
  4. Step 4: Simplify right side
    421,751.25x = 829,655,009,316
  5. Step 5: Solve for x
    x = 829,655,009,316/421,751.25
  6. Step 6: Final answer
    x = 1,967,166.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.