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Finding the Third Proportional to 1,707,130.69 and 3,572,083.13

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Solution

The third proportional to 1,707,130.69 and 3,572,083.13 is: 7,474,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,130.69 : 3,572,083.13 = 3,572,083.13 : x
  2. Step 2: Convert to fraction form
    1,707,130.69/3,572,083.13 = 3,572,083.13/x
  3. Step 3: Cross multiply
    1,707,130.69x = 3,572,083.13 × 3,572,083.13
  4. Step 4: Simplify right side
    1,707,130.69x = 12,759,777,851,909.77
  5. Step 5: Solve for x
    x = 12,759,777,851,909.77/1,707,130.69
  6. Step 6: Final answer
    x = 7,474,400.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.