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Finding the Third Proportional to 556,010 and 1,213,973

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Solution

The third proportional to 556,010 and 1,213,973 is: 2,650,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,010 : 1,213,973 = 1,213,973 : x
  2. Step 2: Convert to fraction form
    556,010/1,213,973 = 1,213,973/x
  3. Step 3: Cross multiply
    556,010x = 1,213,973 × 1,213,973
  4. Step 4: Simplify right side
    556,010x = 1,473,730,444,729
  5. Step 5: Solve for x
    x = 1,473,730,444,729/556,010
  6. Step 6: Final answer
    x = 2,650,546.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.