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Finding the Third Proportional to 1,216,908 and 2,596,693.50

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Solution

The third proportional to 1,216,908 and 2,596,693.50 is: 5,540,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,908 : 2,596,693.50 = 2,596,693.50 : x
  2. Step 2: Convert to fraction form
    1,216,908/2,596,693.50 = 2,596,693.50/x
  3. Step 3: Cross multiply
    1,216,908x = 2,596,693.50 × 2,596,693.50
  4. Step 4: Simplify right side
    1,216,908x = 6,742,817,132,942.25
  5. Step 5: Solve for x
    x = 6,742,817,132,942.25/1,216,908
  6. Step 6: Final answer
    x = 5,540,942.40

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.