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Finding the Third Proportional to 1,460,358 and 3,136,596

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Solution

The third proportional to 1,460,358 and 3,136,596 is: 6,736,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,358 : 3,136,596 = 3,136,596 : x
  2. Step 2: Convert to fraction form
    1,460,358/3,136,596 = 3,136,596/x
  3. Step 3: Cross multiply
    1,460,358x = 3,136,596 × 3,136,596
  4. Step 4: Simplify right side
    1,460,358x = 9,838,234,467,216
  5. Step 5: Solve for x
    x = 9,838,234,467,216/1,460,358
  6. Step 6: Final answer
    x = 6,736,864.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.