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Finding the Third Proportional to 917,584 and 1,975,784

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Solution

The third proportional to 917,584 and 1,975,784 is: 4,254,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,584 : 1,975,784 = 1,975,784 : x
  2. Step 2: Convert to fraction form
    917,584/1,975,784 = 1,975,784/x
  3. Step 3: Cross multiply
    917,584x = 1,975,784 × 1,975,784
  4. Step 4: Simplify right side
    917,584x = 3,903,722,414,656
  5. Step 5: Solve for x
    x = 3,903,722,414,656/917,584
  6. Step 6: Final answer
    x = 4,254,348.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.