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Finding the Third Proportional to 563,528 and 1,234,503

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Solution

The third proportional to 563,528 and 1,234,503 is: 2,704,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,528 : 1,234,503 = 1,234,503 : x
  2. Step 2: Convert to fraction form
    563,528/1,234,503 = 1,234,503/x
  3. Step 3: Cross multiply
    563,528x = 1,234,503 × 1,234,503
  4. Step 4: Simplify right side
    563,528x = 1,523,997,657,009
  5. Step 5: Solve for x
    x = 1,523,997,657,009/563,528
  6. Step 6: Final answer
    x = 2,704,386.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.