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Finding the Third Proportional to 584,589,604 and 1,210,616,805

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Solution

The third proportional to 584,589,604 and 1,210,616,805 is: 2,507,046,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,589,604 : 1,210,616,805 = 1,210,616,805 : x
  2. Step 2: Convert to fraction form
    584,589,604/1,210,616,805 = 1,210,616,805/x
  3. Step 3: Cross multiply
    584,589,604x = 1,210,616,805 × 1,210,616,805
  4. Step 4: Simplify right side
    584,589,604x = 1,465,593,048,548,408,064
  5. Step 5: Solve for x
    x = 1,465,593,048,548,408,064/584,589,604
  6. Step 6: Final answer
    x = 2,507,046,034.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.