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Finding the Third Proportional to 656,534 and 1,428,097

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Solution

The third proportional to 656,534 and 1,428,097 is: 3,106,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,534 : 1,428,097 = 1,428,097 : x
  2. Step 2: Convert to fraction form
    656,534/1,428,097 = 1,428,097/x
  3. Step 3: Cross multiply
    656,534x = 1,428,097 × 1,428,097
  4. Step 4: Simplify right side
    656,534x = 2,039,461,041,409
  5. Step 5: Solve for x
    x = 2,039,461,041,409/656,534
  6. Step 6: Final answer
    x = 3,106,405.82

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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.