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Finding the Third Proportional to 1,014,889,140 and 1,614,904,914

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Solution

The third proportional to 1,014,889,140 and 1,614,904,914 is: 2,569,657,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,889,140 : 1,614,904,914 = 1,614,904,914 : x
  2. Step 2: Convert to fraction form
    1,014,889,140/1,614,904,914 = 1,614,904,914/x
  3. Step 3: Cross multiply
    1,014,889,140x = 1,614,904,914 × 1,614,904,914
  4. Step 4: Simplify right side
    1,014,889,140x = 2,607,917,881,261,347,328
  5. Step 5: Solve for x
    x = 2,607,917,881,261,347,328/1,014,889,140
  6. Step 6: Final answer
    x = 2,569,657,885.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.