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Finding the Third Proportional to 556,936 and 896,748

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Solution

The third proportional to 556,936 and 896,748 is: 1,443,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,936 : 896,748 = 896,748 : x
  2. Step 2: Convert to fraction form
    556,936/896,748 = 896,748/x
  3. Step 3: Cross multiply
    556,936x = 896,748 × 896,748
  4. Step 4: Simplify right side
    556,936x = 804,156,975,504
  5. Step 5: Solve for x
    x = 804,156,975,504/556,936
  6. Step 6: Final answer
    x = 1,443,894.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.