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Finding the Third Proportional to 1,258,622,714 and 1,974,407,646

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Solution

The third proportional to 1,258,622,714 and 1,974,407,646 is: 3,097,262,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,622,714 : 1,974,407,646 = 1,974,407,646 : x
  2. Step 2: Convert to fraction form
    1,258,622,714/1,974,407,646 = 1,974,407,646/x
  3. Step 3: Cross multiply
    1,258,622,714x = 1,974,407,646 × 1,974,407,646
  4. Step 4: Simplify right side
    1,258,622,714x = 3,898,285,552,583,261,184
  5. Step 5: Solve for x
    x = 3,898,285,552,583,261,184/1,258,622,714
  6. Step 6: Final answer
    x = 3,097,262,991.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.