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Finding the Third Proportional to 1,496,717.16 and 3,283,143.47

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Solution

The third proportional to 1,496,717.16 and 3,283,143.47 is: 7,201,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,717.16 : 3,283,143.47 = 3,283,143.47 : x
  2. Step 2: Convert to fraction form
    1,496,717.16/3,283,143.47 = 3,283,143.47/x
  3. Step 3: Cross multiply
    1,496,717.16x = 3,283,143.47 × 3,283,143.47
  4. Step 4: Simplify right side
    1,496,717.16x = 10,779,031,036,395.78
  5. Step 5: Solve for x
    x = 10,779,031,036,395.78/1,496,717.16
  6. Step 6: Final answer
    x = 7,201,782.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.