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Finding the Third Proportional to 524,847,490 and 1,127,583,763

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Solution

The third proportional to 524,847,490 and 1,127,583,763 is: 2,422,503,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,490 : 1,127,583,763 = 1,127,583,763 : x
  2. Step 2: Convert to fraction form
    524,847,490/1,127,583,763 = 1,127,583,763/x
  3. Step 3: Cross multiply
    524,847,490x = 1,127,583,763 × 1,127,583,763
  4. Step 4: Simplify right side
    524,847,490x = 1,271,445,142,581,240,064
  5. Step 5: Solve for x
    x = 1,271,445,142,581,240,064/524,847,490
  6. Step 6: Final answer
    x = 2,422,503,997.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.