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Finding the Third Proportional to 1,897,172.50 and 4,141,052

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Solution

The third proportional to 1,897,172.50 and 4,141,052 is: 9,038,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,172.50 : 4,141,052 = 4,141,052 : x
  2. Step 2: Convert to fraction form
    1,897,172.50/4,141,052 = 4,141,052/x
  3. Step 3: Cross multiply
    1,897,172.50x = 4,141,052 × 4,141,052
  4. Step 4: Simplify right side
    1,897,172.50x = 17,148,311,666,704
  5. Step 5: Solve for x
    x = 17,148,311,666,704/1,897,172.50
  6. Step 6: Final answer
    x = 9,038,878.47

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Why These Related Problems?

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