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Finding the Third Proportional to 709,536,714 and 1,517,130,726

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Solution

The third proportional to 709,536,714 and 1,517,130,726 is: 3,243,927,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,536,714 : 1,517,130,726 = 1,517,130,726 : x
  2. Step 2: Convert to fraction form
    709,536,714/1,517,130,726 = 1,517,130,726/x
  3. Step 3: Cross multiply
    709,536,714x = 1,517,130,726 × 1,517,130,726
  4. Step 4: Simplify right side
    709,536,714x = 2,301,685,639,773,287,168
  5. Step 5: Solve for x
    x = 2,301,685,639,773,287,168/709,536,714
  6. Step 6: Final answer
    x = 3,243,927,473.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.