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Finding the Third Proportional to 495,020 and 1,016,284

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Solution

The third proportional to 495,020 and 1,016,284 is: 2,086,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,020 : 1,016,284 = 1,016,284 : x
  2. Step 2: Convert to fraction form
    495,020/1,016,284 = 1,016,284/x
  3. Step 3: Cross multiply
    495,020x = 1,016,284 × 1,016,284
  4. Step 4: Simplify right side
    495,020x = 1,032,833,168,656
  5. Step 5: Solve for x
    x = 1,032,833,168,656/495,020
  6. Step 6: Final answer
    x = 2,086,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.