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Finding the Third Proportional to 1,572,599 and 3,696,489

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Solution

The third proportional to 1,572,599 and 3,696,489 is: 8,688,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,599 : 3,696,489 = 3,696,489 : x
  2. Step 2: Convert to fraction form
    1,572,599/3,696,489 = 3,696,489/x
  3. Step 3: Cross multiply
    1,572,599x = 3,696,489 × 3,696,489
  4. Step 4: Simplify right side
    1,572,599x = 13,664,030,927,121
  5. Step 5: Solve for x
    x = 13,664,030,927,121/1,572,599
  6. Step 6: Final answer
    x = 8,688,820.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.