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Finding the Third Proportional to 427,085,464 and 665,597,929

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Solution

The third proportional to 427,085,464 and 665,597,929 is: 1,037,311,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,085,464 : 665,597,929 = 665,597,929 : x
  2. Step 2: Convert to fraction form
    427,085,464/665,597,929 = 665,597,929/x
  3. Step 3: Cross multiply
    427,085,464x = 665,597,929 × 665,597,929
  4. Step 4: Simplify right side
    427,085,464x = 443,020,603,089,089,024
  5. Step 5: Solve for x
    x = 443,020,603,089,089,024/427,085,464
  6. Step 6: Final answer
    x = 1,037,311,359.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.