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Finding the Third Proportional to 1,574,145 and 2,430,787.50

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Solution

The third proportional to 1,574,145 and 2,430,787.50 is: 3,753,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,145 : 2,430,787.50 = 2,430,787.50 : x
  2. Step 2: Convert to fraction form
    1,574,145/2,430,787.50 = 2,430,787.50/x
  3. Step 3: Cross multiply
    1,574,145x = 2,430,787.50 × 2,430,787.50
  4. Step 4: Simplify right side
    1,574,145x = 5,908,727,870,156.25
  5. Step 5: Solve for x
    x = 5,908,727,870,156.25/1,574,145
  6. Step 6: Final answer
    x = 3,753,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.