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Finding the Third Proportional to 560,389 and 1,216,033

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Solution

The third proportional to 560,389 and 1,216,033 is: 2,638,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,389 : 1,216,033 = 1,216,033 : x
  2. Step 2: Convert to fraction form
    560,389/1,216,033 = 1,216,033/x
  3. Step 3: Cross multiply
    560,389x = 1,216,033 × 1,216,033
  4. Step 4: Simplify right side
    560,389x = 1,478,736,257,089
  5. Step 5: Solve for x
    x = 1,478,736,257,089/560,389
  6. Step 6: Final answer
    x = 2,638,767.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.