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Finding the Third Proportional to 1,605,258 and 2,646,543.38

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Solution

The third proportional to 1,605,258 and 2,646,543.38 is: 4,363,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,258 : 2,646,543.38 = 2,646,543.38 : x
  2. Step 2: Convert to fraction form
    1,605,258/2,646,543.38 = 2,646,543.38/x
  3. Step 3: Cross multiply
    1,605,258x = 2,646,543.38 × 2,646,543.38
  4. Step 4: Simplify right side
    1,605,258x = 7,004,191,835,756.39
  5. Step 5: Solve for x
    x = 7,004,191,835,756.39/1,605,258
  6. Step 6: Final answer
    x = 4,363,281.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.