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Finding the Third Proportional to 651,213 and 1,018,514.25

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Solution

The third proportional to 651,213 and 1,018,514.25 is: 1,592,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,213 : 1,018,514.25 = 1,018,514.25 : x
  2. Step 2: Convert to fraction form
    651,213/1,018,514.25 = 1,018,514.25/x
  3. Step 3: Cross multiply
    651,213x = 1,018,514.25 × 1,018,514.25
  4. Step 4: Simplify right side
    651,213x = 1,037,371,277,453.06
  5. Step 5: Solve for x
    x = 1,037,371,277,453.06/651,213
  6. Step 6: Final answer
    x = 1,592,983.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.