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Finding the Third Proportional to 670,113 and 1,460,713.50

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Solution

The third proportional to 670,113 and 1,460,713.50 is: 3,184,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,113 : 1,460,713.50 = 1,460,713.50 : x
  2. Step 2: Convert to fraction form
    670,113/1,460,713.50 = 1,460,713.50/x
  3. Step 3: Cross multiply
    670,113x = 1,460,713.50 × 1,460,713.50
  4. Step 4: Simplify right side
    670,113x = 2,133,683,929,082.25
  5. Step 5: Solve for x
    x = 2,133,683,929,082.25/670,113
  6. Step 6: Final answer
    x = 3,184,065.87

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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.