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Finding the Third Proportional to 610,461.56 and 1,326,015.56

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Solution

The third proportional to 610,461.56 and 1,326,015.56 is: 2,880,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,461.56 : 1,326,015.56 = 1,326,015.56 : x
  2. Step 2: Convert to fraction form
    610,461.56/1,326,015.56 = 1,326,015.56/x
  3. Step 3: Cross multiply
    610,461.56x = 1,326,015.56 × 1,326,015.56
  4. Step 4: Simplify right side
    610,461.56x = 1,758,317,271,992.19
  5. Step 5: Solve for x
    x = 1,758,317,271,992.19/610,461.56
  6. Step 6: Final answer
    x = 2,880,307.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.