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Finding the Third Proportional to 1,506,240 and 2,106,754

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Solution

The third proportional to 1,506,240 and 2,106,754 is: 2,946,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,240 : 2,106,754 = 2,106,754 : x
  2. Step 2: Convert to fraction form
    1,506,240/2,106,754 = 2,106,754/x
  3. Step 3: Cross multiply
    1,506,240x = 2,106,754 × 2,106,754
  4. Step 4: Simplify right side
    1,506,240x = 4,438,412,416,516
  5. Step 5: Solve for x
    x = 4,438,412,416,516/1,506,240
  6. Step 6: Final answer
    x = 2,946,683.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.