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Finding the Third Proportional to 875,784 and 1,319,942

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Solution

The third proportional to 875,784 and 1,319,942 is: 1,989,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,784 : 1,319,942 = 1,319,942 : x
  2. Step 2: Convert to fraction form
    875,784/1,319,942 = 1,319,942/x
  3. Step 3: Cross multiply
    875,784x = 1,319,942 × 1,319,942
  4. Step 4: Simplify right side
    875,784x = 1,742,246,883,364
  5. Step 5: Solve for x
    x = 1,742,246,883,364/875,784
  6. Step 6: Final answer
    x = 1,989,356.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.