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Finding the Third Proportional to 418,967,492 and 910,454,810

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Solution

The third proportional to 418,967,492 and 910,454,810 is: 1,978,501,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,967,492 : 910,454,810 = 910,454,810 : x
  2. Step 2: Convert to fraction form
    418,967,492/910,454,810 = 910,454,810/x
  3. Step 3: Cross multiply
    418,967,492x = 910,454,810 × 910,454,810
  4. Step 4: Simplify right side
    418,967,492x = 828,927,961,052,136,064
  5. Step 5: Solve for x
    x = 828,927,961,052,136,064/418,967,492
  6. Step 6: Final answer
    x = 1,978,501,857.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.