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Finding the Third Proportional to 740,052 and 1,618,506

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Solution

The third proportional to 740,052 and 1,618,506 is: 3,539,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,052 : 1,618,506 = 1,618,506 : x
  2. Step 2: Convert to fraction form
    740,052/1,618,506 = 1,618,506/x
  3. Step 3: Cross multiply
    740,052x = 1,618,506 × 1,618,506
  4. Step 4: Simplify right side
    740,052x = 2,619,561,672,036
  5. Step 5: Solve for x
    x = 2,619,561,672,036/740,052
  6. Step 6: Final answer
    x = 3,539,699.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.