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Finding the Third Proportional to 2,127,818 and 4,617,332

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Solution

The third proportional to 2,127,818 and 4,617,332 is: 10,019,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,818 : 4,617,332 = 4,617,332 : x
  2. Step 2: Convert to fraction form
    2,127,818/4,617,332 = 4,617,332/x
  3. Step 3: Cross multiply
    2,127,818x = 4,617,332 × 4,617,332
  4. Step 4: Simplify right side
    2,127,818x = 21,319,754,798,224
  5. Step 5: Solve for x
    x = 21,319,754,798,224/2,127,818
  6. Step 6: Final answer
    x = 10,019,538.70

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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.