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Finding the Third Proportional to 553,620 and 827,547

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Solution

The third proportional to 553,620 and 827,547 is: 1,237,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,620 : 827,547 = 827,547 : x
  2. Step 2: Convert to fraction form
    553,620/827,547 = 827,547/x
  3. Step 3: Cross multiply
    553,620x = 827,547 × 827,547
  4. Step 4: Simplify right side
    553,620x = 684,834,037,209
  5. Step 5: Solve for x
    x = 684,834,037,209/553,620
  6. Step 6: Final answer
    x = 1,237,011.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.