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Finding the Third Proportional to 842,784 and 1,784,688

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Solution

The third proportional to 842,784 and 1,784,688 is: 3,779,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,784 : 1,784,688 = 1,784,688 : x
  2. Step 2: Convert to fraction form
    842,784/1,784,688 = 1,784,688/x
  3. Step 3: Cross multiply
    842,784x = 1,784,688 × 1,784,688
  4. Step 4: Simplify right side
    842,784x = 3,185,111,257,344
  5. Step 5: Solve for x
    x = 3,185,111,257,344/842,784
  6. Step 6: Final answer
    x = 3,779,273.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.