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Finding the Third Proportional to 709,536,717 and 1,517,130,732

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Solution

The third proportional to 709,536,717 and 1,517,130,732 is: 3,243,927,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,536,717 : 1,517,130,732 = 1,517,130,732 : x
  2. Step 2: Convert to fraction form
    709,536,717/1,517,130,732 = 1,517,130,732/x
  3. Step 3: Cross multiply
    709,536,717x = 1,517,130,732 × 1,517,130,732
  4. Step 4: Simplify right side
    709,536,717x = 2,301,685,657,978,855,936
  5. Step 5: Solve for x
    x = 2,301,685,657,978,855,936/709,536,717
  6. Step 6: Final answer
    x = 3,243,927,485.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.