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Finding the Third Proportional to 2,046,594 and 4,153,326

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Solution

The third proportional to 2,046,594 and 4,153,326 is: 8,428,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,594 : 4,153,326 = 4,153,326 : x
  2. Step 2: Convert to fraction form
    2,046,594/4,153,326 = 4,153,326/x
  3. Step 3: Cross multiply
    2,046,594x = 4,153,326 × 4,153,326
  4. Step 4: Simplify right side
    2,046,594x = 17,250,116,862,276
  5. Step 5: Solve for x
    x = 17,250,116,862,276/2,046,594
  6. Step 6: Final answer
    x = 8,428,695.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.