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Finding the Third Proportional to 656,520 and 1,413,480

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Solution

The third proportional to 656,520 and 1,413,480 is: 3,043,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,520 : 1,413,480 = 1,413,480 : x
  2. Step 2: Convert to fraction form
    656,520/1,413,480 = 1,413,480/x
  3. Step 3: Cross multiply
    656,520x = 1,413,480 × 1,413,480
  4. Step 4: Simplify right side
    656,520x = 1,997,925,710,400
  5. Step 5: Solve for x
    x = 1,997,925,710,400/656,520
  6. Step 6: Final answer
    x = 3,043,206.16

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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.