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Finding the Third Proportional to 656,528 and 1,428,086.50

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Solution

The third proportional to 656,528 and 1,428,086.50 is: 3,106,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,528 : 1,428,086.50 = 1,428,086.50 : x
  2. Step 2: Convert to fraction form
    656,528/1,428,086.50 = 1,428,086.50/x
  3. Step 3: Cross multiply
    656,528x = 1,428,086.50 × 1,428,086.50
  4. Step 4: Simplify right side
    656,528x = 2,039,431,051,482.25
  5. Step 5: Solve for x
    x = 2,039,431,051,482.25/656,528
  6. Step 6: Final answer
    x = 3,106,388.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.