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Finding the Third Proportional to 1,784,888.16 and 2,602,564.17

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Solution

The third proportional to 1,784,888.16 and 2,602,564.17 is: 3,794,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,888.16 : 2,602,564.17 = 2,602,564.17 : x
  2. Step 2: Convert to fraction form
    1,784,888.16/2,602,564.17 = 2,602,564.17/x
  3. Step 3: Cross multiply
    1,784,888.16x = 2,602,564.17 × 2,602,564.17
  4. Step 4: Simplify right side
    1,784,888.16x = 6,773,340,268,727.40
  5. Step 5: Solve for x
    x = 6,773,340,268,727.40/1,784,888.16
  6. Step 6: Final answer
    x = 3,794,826.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.