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Finding the Third Proportional to 2,159,038.13 and 4,617,010.13

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Solution

The third proportional to 2,159,038.13 and 4,617,010.13 is: 9,873,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,038.13 : 4,617,010.13 = 4,617,010.13 : x
  2. Step 2: Convert to fraction form
    2,159,038.13/4,617,010.13 = 4,617,010.13/x
  3. Step 3: Cross multiply
    2,159,038.13x = 4,617,010.13 × 4,617,010.13
  4. Step 4: Simplify right side
    2,159,038.13x = 21,316,782,494,352.52
  5. Step 5: Solve for x
    x = 21,316,782,494,352.52/2,159,038.13
  6. Step 6: Final answer
    x = 9,873,277.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.