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Finding the Third Proportional to 1,011,673,203 and 1,517,509,804

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Solution

The third proportional to 1,011,673,203 and 1,517,509,804 is: 2,276,264,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,673,203 : 1,517,509,804 = 1,517,509,804 : x
  2. Step 2: Convert to fraction form
    1,011,673,203/1,517,509,804 = 1,517,509,804/x
  3. Step 3: Cross multiply
    1,011,673,203x = 1,517,509,804 × 1,517,509,804
  4. Step 4: Simplify right side
    1,011,673,203x = 2,302,836,005,236,118,528
  5. Step 5: Solve for x
    x = 2,302,836,005,236,118,528/1,011,673,203
  6. Step 6: Final answer
    x = 2,276,264,705.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.