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Finding the Third Proportional to 739,359,024 and 1,057,210,284

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Solution

The third proportional to 739,359,024 and 1,057,210,284 is: 1,511,706,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,359,024 : 1,057,210,284 = 1,057,210,284 : x
  2. Step 2: Convert to fraction form
    739,359,024/1,057,210,284 = 1,057,210,284/x
  3. Step 3: Cross multiply
    739,359,024x = 1,057,210,284 × 1,057,210,284
  4. Step 4: Simplify right side
    739,359,024x = 1,117,693,584,595,360,640
  5. Step 5: Solve for x
    x = 1,117,693,584,595,360,640/739,359,024
  6. Step 6: Final answer
    x = 1,511,706,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.