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Finding the Third Proportional to 903,448 and 1,964,354

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Solution

The third proportional to 903,448 and 1,964,354 is: 4,271,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,448 : 1,964,354 = 1,964,354 : x
  2. Step 2: Convert to fraction form
    903,448/1,964,354 = 1,964,354/x
  3. Step 3: Cross multiply
    903,448x = 1,964,354 × 1,964,354
  4. Step 4: Simplify right side
    903,448x = 3,858,686,637,316
  5. Step 5: Solve for x
    x = 3,858,686,637,316/903,448
  6. Step 6: Final answer
    x = 4,271,066.67

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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.