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Finding the Third Proportional to 946,528 and 2,053,600

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Solution

The third proportional to 946,528 and 2,053,600 is: 4,455,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,528 : 2,053,600 = 2,053,600 : x
  2. Step 2: Convert to fraction form
    946,528/2,053,600 = 2,053,600/x
  3. Step 3: Cross multiply
    946,528x = 2,053,600 × 2,053,600
  4. Step 4: Simplify right side
    946,528x = 4,217,272,960,000
  5. Step 5: Solve for x
    x = 4,217,272,960,000/946,528
  6. Step 6: Final answer
    x = 4,455,518.44

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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.