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Finding the Third Proportional to 974,340,496 and 1,407,753,752

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Solution

The third proportional to 974,340,496 and 1,407,753,752 is: 2,033,961,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,340,496 : 1,407,753,752 = 1,407,753,752 : x
  2. Step 2: Convert to fraction form
    974,340,496/1,407,753,752 = 1,407,753,752/x
  3. Step 3: Cross multiply
    974,340,496x = 1,407,753,752 × 1,407,753,752
  4. Step 4: Simplify right side
    974,340,496x = 1,981,770,626,270,077,440
  5. Step 5: Solve for x
    x = 1,981,770,626,270,077,440/974,340,496
  6. Step 6: Final answer
    x = 2,033,961,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.