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Finding the Third Proportional to 779,527.50 and 1,666,782.56

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Solution

The third proportional to 779,527.50 and 1,666,782.56 is: 3,563,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,527.50 : 1,666,782.56 = 1,666,782.56 : x
  2. Step 2: Convert to fraction form
    779,527.50/1,666,782.56 = 1,666,782.56/x
  3. Step 3: Cross multiply
    779,527.50x = 1,666,782.56 × 1,666,782.56
  4. Step 4: Simplify right side
    779,527.50x = 2,778,164,110,654.07
  5. Step 5: Solve for x
    x = 2,778,164,110,654.07/779,527.50
  6. Step 6: Final answer
    x = 3,563,907.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.