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Finding the Third Proportional to 1,022,315,908 and 1,461,922,998

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Solution

The third proportional to 1,022,315,908 and 1,461,922,998 is: 2,090,565,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,315,908 : 1,461,922,998 = 1,461,922,998 : x
  2. Step 2: Convert to fraction form
    1,022,315,908/1,461,922,998 = 1,461,922,998/x
  3. Step 3: Cross multiply
    1,022,315,908x = 1,461,922,998 × 1,461,922,998
  4. Step 4: Simplify right side
    1,022,315,908x = 2,137,218,852,081,307,904
  5. Step 5: Solve for x
    x = 2,137,218,852,081,307,904/1,022,315,908
  6. Step 6: Final answer
    x = 2,090,565,974.13

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