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Finding the Third Proportional to 995,480 and 1,537,224

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Solution

The third proportional to 995,480 and 1,537,224 is: 2,373,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,480 : 1,537,224 = 1,537,224 : x
  2. Step 2: Convert to fraction form
    995,480/1,537,224 = 1,537,224/x
  3. Step 3: Cross multiply
    995,480x = 1,537,224 × 1,537,224
  4. Step 4: Simplify right side
    995,480x = 2,363,057,626,176
  5. Step 5: Solve for x
    x = 2,363,057,626,176/995,480
  6. Step 6: Final answer
    x = 2,373,787.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.