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Finding the Third Proportional to 792,147,584 and 1,210,989,504

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Solution

The third proportional to 792,147,584 and 1,210,989,504 is: 1,851,290,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,147,584 : 1,210,989,504 = 1,210,989,504 : x
  2. Step 2: Convert to fraction form
    792,147,584/1,210,989,504 = 1,210,989,504/x
  3. Step 3: Cross multiply
    792,147,584x = 1,210,989,504 × 1,210,989,504
  4. Step 4: Simplify right side
    792,147,584x = 1,466,495,578,798,166,016
  5. Step 5: Solve for x
    x = 1,466,495,578,798,166,016/792,147,584
  6. Step 6: Final answer
    x = 1,851,290,855.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.