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Finding the Third Proportional to 446,762,340 and 688,985,056

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Solution

The third proportional to 446,762,340 and 688,985,056 is: 1,062,534,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,762,340 : 688,985,056 = 688,985,056 : x
  2. Step 2: Convert to fraction form
    446,762,340/688,985,056 = 688,985,056/x
  3. Step 3: Cross multiply
    446,762,340x = 688,985,056 × 688,985,056
  4. Step 4: Simplify right side
    446,762,340x = 474,700,407,391,323,136
  5. Step 5: Solve for x
    x = 474,700,407,391,323,136/446,762,340
  6. Step 6: Final answer
    x = 1,062,534,517.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.