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Finding the Third Proportional to 1,297,730 and 1,735,887

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Solution

The third proportional to 1,297,730 and 1,735,887 is: 2,321,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,730 : 1,735,887 = 1,735,887 : x
  2. Step 2: Convert to fraction form
    1,297,730/1,735,887 = 1,735,887/x
  3. Step 3: Cross multiply
    1,297,730x = 1,735,887 × 1,735,887
  4. Step 4: Simplify right side
    1,297,730x = 3,013,303,676,769
  5. Step 5: Solve for x
    x = 3,013,303,676,769/1,297,730
  6. Step 6: Final answer
    x = 2,321,980.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.