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Finding the Third Proportional to 556,054 and 1,214,046

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Solution

The third proportional to 556,054 and 1,214,046 is: 2,650,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,054 : 1,214,046 = 1,214,046 : x
  2. Step 2: Convert to fraction form
    556,054/1,214,046 = 1,214,046/x
  3. Step 3: Cross multiply
    556,054x = 1,214,046 × 1,214,046
  4. Step 4: Simplify right side
    556,054x = 1,473,907,690,116
  5. Step 5: Solve for x
    x = 1,473,907,690,116/556,054
  6. Step 6: Final answer
    x = 2,650,655.67

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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.