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Finding the Third Proportional to 996,590.81 and 1,546,075.69

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Solution

The third proportional to 996,590.81 and 1,546,075.69 is: 2,398,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,590.81 : 1,546,075.69 = 1,546,075.69 : x
  2. Step 2: Convert to fraction form
    996,590.81/1,546,075.69 = 1,546,075.69/x
  3. Step 3: Cross multiply
    996,590.81x = 1,546,075.69 × 1,546,075.69
  4. Step 4: Simplify right side
    996,590.81x = 2,390,350,031,478.60
  5. Step 5: Solve for x
    x = 2,390,350,031,478.60/996,590.81
  6. Step 6: Final answer
    x = 2,398,527.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.