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Finding the Third Proportional to 828,075.66 and 1,246,259.67

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Solution

The third proportional to 828,075.66 and 1,246,259.67 is: 1,875,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,075.66 : 1,246,259.67 = 1,246,259.67 : x
  2. Step 2: Convert to fraction form
    828,075.66/1,246,259.67 = 1,246,259.67/x
  3. Step 3: Cross multiply
    828,075.66x = 1,246,259.67 × 1,246,259.67
  4. Step 4: Simplify right side
    828,075.66x = 1,553,163,169,741.98
  5. Step 5: Solve for x
    x = 1,553,163,169,741.98/828,075.66
  6. Step 6: Final answer
    x = 1,875,629.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.