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Finding the Third Proportional to 766,020 and 1,666,297.50

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Solution

The third proportional to 766,020 and 1,666,297.50 is: 3,624,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,020 : 1,666,297.50 = 1,666,297.50 : x
  2. Step 2: Convert to fraction form
    766,020/1,666,297.50 = 1,666,297.50/x
  3. Step 3: Cross multiply
    766,020x = 1,666,297.50 × 1,666,297.50
  4. Step 4: Simplify right side
    766,020x = 2,776,547,358,506.25
  5. Step 5: Solve for x
    x = 2,776,547,358,506.25/766,020
  6. Step 6: Final answer
    x = 3,624,640.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.