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Finding the Third Proportional to 692,605,852 and 1,523,730,452

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Solution

The third proportional to 692,605,852 and 1,523,730,452 is: 3,352,201,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,605,852 : 1,523,730,452 = 1,523,730,452 : x
  2. Step 2: Convert to fraction form
    692,605,852/1,523,730,452 = 1,523,730,452/x
  3. Step 3: Cross multiply
    692,605,852x = 1,523,730,452 × 1,523,730,452
  4. Step 4: Simplify right side
    692,605,852x = 2,321,754,490,352,124,416
  5. Step 5: Solve for x
    x = 2,321,754,490,352,124,416/692,605,852
  6. Step 6: Final answer
    x = 3,352,201,665.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.