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Finding the Third Proportional to 692,810,545 and 1,507,583,655

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Solution

The third proportional to 692,810,545 and 1,507,583,655 is: 3,280,562,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,545 : 1,507,583,655 = 1,507,583,655 : x
  2. Step 2: Convert to fraction form
    692,810,545/1,507,583,655 = 1,507,583,655/x
  3. Step 3: Cross multiply
    692,810,545x = 1,507,583,655 × 1,507,583,655
  4. Step 4: Simplify right side
    692,810,545x = 2,272,808,476,823,159,040
  5. Step 5: Solve for x
    x = 2,272,808,476,823,159,040/692,810,545
  6. Step 6: Final answer
    x = 3,280,562,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.