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Finding the Third Proportional to 1,730,448.75 and 3,772,271.75

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Solution

The third proportional to 1,730,448.75 and 3,772,271.75 is: 8,223,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,448.75 : 3,772,271.75 = 3,772,271.75 : x
  2. Step 2: Convert to fraction form
    1,730,448.75/3,772,271.75 = 3,772,271.75/x
  3. Step 3: Cross multiply
    1,730,448.75x = 3,772,271.75 × 3,772,271.75
  4. Step 4: Simplify right side
    1,730,448.75x = 14,230,034,155,848.06
  5. Step 5: Solve for x
    x = 14,230,034,155,848.06/1,730,448.75
  6. Step 6: Final answer
    x = 8,223,320.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.