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Finding the Third Proportional to 470,320 and 1,033,952

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Solution

The third proportional to 470,320 and 1,033,952 is: 2,273,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,320 : 1,033,952 = 1,033,952 : x
  2. Step 2: Convert to fraction form
    470,320/1,033,952 = 1,033,952/x
  3. Step 3: Cross multiply
    470,320x = 1,033,952 × 1,033,952
  4. Step 4: Simplify right side
    470,320x = 1,069,056,738,304
  5. Step 5: Solve for x
    x = 1,069,056,738,304/470,320
  6. Step 6: Final answer
    x = 2,273,041.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.