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Finding the Third Proportional to 469,506 and 915,492

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Solution

The third proportional to 469,506 and 915,492 is: 1,785,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,506 : 915,492 = 915,492 : x
  2. Step 2: Convert to fraction form
    469,506/915,492 = 915,492/x
  3. Step 3: Cross multiply
    469,506x = 915,492 × 915,492
  4. Step 4: Simplify right side
    469,506x = 838,125,602,064
  5. Step 5: Solve for x
    x = 838,125,602,064/469,506
  6. Step 6: Final answer
    x = 1,785,122.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.