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Finding the Third Proportional to 525,136 and 1,152,386

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Solution

The third proportional to 525,136 and 1,152,386 is: 2,528,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,136 : 1,152,386 = 1,152,386 : x
  2. Step 2: Convert to fraction form
    525,136/1,152,386 = 1,152,386/x
  3. Step 3: Cross multiply
    525,136x = 1,152,386 × 1,152,386
  4. Step 4: Simplify right side
    525,136x = 1,327,993,492,996
  5. Step 5: Solve for x
    x = 1,327,993,492,996/525,136
  6. Step 6: Final answer
    x = 2,528,856.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.