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Finding the Third Proportional to 953,730 and 2,071,492

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Solution

The third proportional to 953,730 and 2,071,492 is: 4,499,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,730 : 2,071,492 = 2,071,492 : x
  2. Step 2: Convert to fraction form
    953,730/2,071,492 = 2,071,492/x
  3. Step 3: Cross multiply
    953,730x = 2,071,492 × 2,071,492
  4. Step 4: Simplify right side
    953,730x = 4,291,079,106,064
  5. Step 5: Solve for x
    x = 4,291,079,106,064/953,730
  6. Step 6: Final answer
    x = 4,499,259.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.