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Finding the Third Proportional to 464,548 and 1,005,128

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Solution

The third proportional to 464,548 and 1,005,128 is: 2,174,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,548 : 1,005,128 = 1,005,128 : x
  2. Step 2: Convert to fraction form
    464,548/1,005,128 = 1,005,128/x
  3. Step 3: Cross multiply
    464,548x = 1,005,128 × 1,005,128
  4. Step 4: Simplify right side
    464,548x = 1,010,282,296,384
  5. Step 5: Solve for x
    x = 1,010,282,296,384/464,548
  6. Step 6: Final answer
    x = 2,174,764.06

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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.