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Finding the Third Proportional to 503,820 and 1,064,514

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Solution

The third proportional to 503,820 and 1,064,514 is: 2,249,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,820 : 1,064,514 = 1,064,514 : x
  2. Step 2: Convert to fraction form
    503,820/1,064,514 = 1,064,514/x
  3. Step 3: Cross multiply
    503,820x = 1,064,514 × 1,064,514
  4. Step 4: Simplify right side
    503,820x = 1,133,190,056,196
  5. Step 5: Solve for x
    x = 1,133,190,056,196/503,820
  6. Step 6: Final answer
    x = 2,249,196.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.