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Finding the Third Proportional to 563,222 and 1,173,046

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Solution

The third proportional to 563,222 and 1,173,046 is: 2,443,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,222 : 1,173,046 = 1,173,046 : x
  2. Step 2: Convert to fraction form
    563,222/1,173,046 = 1,173,046/x
  3. Step 3: Cross multiply
    563,222x = 1,173,046 × 1,173,046
  4. Step 4: Simplify right side
    563,222x = 1,376,036,918,116
  5. Step 5: Solve for x
    x = 1,376,036,918,116/563,222
  6. Step 6: Final answer
    x = 2,443,151.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.