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Finding the Third Proportional to 858,534 and 1,864,700

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Solution

The third proportional to 858,534 and 1,864,700 is: 4,050,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,534 : 1,864,700 = 1,864,700 : x
  2. Step 2: Convert to fraction form
    858,534/1,864,700 = 1,864,700/x
  3. Step 3: Cross multiply
    858,534x = 1,864,700 × 1,864,700
  4. Step 4: Simplify right side
    858,534x = 3,477,106,090,000
  5. Step 5: Solve for x
    x = 3,477,106,090,000/858,534
  6. Step 6: Final answer
    x = 4,050,050.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.