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Finding the Third Proportional to 464,334 and 1,016,157

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Solution

The third proportional to 464,334 and 1,016,157 is: 2,223,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,334 : 1,016,157 = 1,016,157 : x
  2. Step 2: Convert to fraction form
    464,334/1,016,157 = 1,016,157/x
  3. Step 3: Cross multiply
    464,334x = 1,016,157 × 1,016,157
  4. Step 4: Simplify right side
    464,334x = 1,032,575,048,649
  5. Step 5: Solve for x
    x = 1,032,575,048,649/464,334
  6. Step 6: Final answer
    x = 2,223,776.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.