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Finding the Third Proportional to 4,497,360.47 and 6,578,017.59

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Solution

The third proportional to 4,497,360.47 and 6,578,017.59 is: 9,621,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,360.47 : 6,578,017.59 = 6,578,017.59 : x
  2. Step 2: Convert to fraction form
    4,497,360.47/6,578,017.59 = 6,578,017.59/x
  3. Step 3: Cross multiply
    4,497,360.47x = 6,578,017.59 × 6,578,017.59
  4. Step 4: Simplify right side
    4,497,360.47x = 43,270,315,463,684.54
  5. Step 5: Solve for x
    x = 43,270,315,463,684.54/4,497,360.47
  6. Step 6: Final answer
    x = 9,621,269.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.