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Finding the Third Proportional to 563,946 and 1,330,803

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Solution

The third proportional to 563,946 and 1,330,803 is: 3,140,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,946 : 1,330,803 = 1,330,803 : x
  2. Step 2: Convert to fraction form
    563,946/1,330,803 = 1,330,803/x
  3. Step 3: Cross multiply
    563,946x = 1,330,803 × 1,330,803
  4. Step 4: Simplify right side
    563,946x = 1,771,036,624,809
  5. Step 5: Solve for x
    x = 1,771,036,624,809/563,946
  6. Step 6: Final answer
    x = 3,140,436.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.