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Finding the Third Proportional to 532,313,487 and 1,158,360,786

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Solution

The third proportional to 532,313,487 and 1,158,360,786 is: 2,520,694,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,313,487 : 1,158,360,786 = 1,158,360,786 : x
  2. Step 2: Convert to fraction form
    532,313,487/1,158,360,786 = 1,158,360,786/x
  3. Step 3: Cross multiply
    532,313,487x = 1,158,360,786 × 1,158,360,786
  4. Step 4: Simplify right side
    532,313,487x = 1,341,799,710,542,537,728
  5. Step 5: Solve for x
    x = 1,341,799,710,542,537,728/532,313,487
  6. Step 6: Final answer
    x = 2,520,694,559.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.