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Finding the Third Proportional to 877,527 and 1,898,977.50

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Solution

The third proportional to 877,527 and 1,898,977.50 is: 4,109,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,527 : 1,898,977.50 = 1,898,977.50 : x
  2. Step 2: Convert to fraction form
    877,527/1,898,977.50 = 1,898,977.50/x
  3. Step 3: Cross multiply
    877,527x = 1,898,977.50 × 1,898,977.50
  4. Step 4: Simplify right side
    877,527x = 3,606,115,545,506.25
  5. Step 5: Solve for x
    x = 3,606,115,545,506.25/877,527
  6. Step 6: Final answer
    x = 4,109,406.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.