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Finding the Third Proportional to 470,412 and 1,016,276

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Solution

The third proportional to 470,412 and 1,016,276 is: 2,195,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,412 : 1,016,276 = 1,016,276 : x
  2. Step 2: Convert to fraction form
    470,412/1,016,276 = 1,016,276/x
  3. Step 3: Cross multiply
    470,412x = 1,016,276 × 1,016,276
  4. Step 4: Simplify right side
    470,412x = 1,032,816,908,176
  5. Step 5: Solve for x
    x = 1,032,816,908,176/470,412
  6. Step 6: Final answer
    x = 2,195,558.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.