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Finding the Third Proportional to 700,054 and 1,526,814

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Solution

The third proportional to 700,054 and 1,526,814 is: 3,329,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,054 : 1,526,814 = 1,526,814 : x
  2. Step 2: Convert to fraction form
    700,054/1,526,814 = 1,526,814/x
  3. Step 3: Cross multiply
    700,054x = 1,526,814 × 1,526,814
  4. Step 4: Simplify right side
    700,054x = 2,331,160,990,596
  5. Step 5: Solve for x
    x = 2,331,160,990,596/700,054
  6. Step 6: Final answer
    x = 3,329,973.10

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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.