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Finding the Third Proportional to 960,576 and 1,506,798

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Solution

The third proportional to 960,576 and 1,506,798 is: 2,363,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,576 : 1,506,798 = 1,506,798 : x
  2. Step 2: Convert to fraction form
    960,576/1,506,798 = 1,506,798/x
  3. Step 3: Cross multiply
    960,576x = 1,506,798 × 1,506,798
  4. Step 4: Simplify right side
    960,576x = 2,270,440,212,804
  5. Step 5: Solve for x
    x = 2,270,440,212,804/960,576
  6. Step 6: Final answer
    x = 2,363,623.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.