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Finding the Third Proportional to 1,562,160 and 3,409,440

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Solution

The third proportional to 1,562,160 and 3,409,440 is: 7,441,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,160 : 3,409,440 = 3,409,440 : x
  2. Step 2: Convert to fraction form
    1,562,160/3,409,440 = 3,409,440/x
  3. Step 3: Cross multiply
    1,562,160x = 3,409,440 × 3,409,440
  4. Step 4: Simplify right side
    1,562,160x = 11,624,281,113,600
  5. Step 5: Solve for x
    x = 11,624,281,113,600/1,562,160
  6. Step 6: Final answer
    x = 7,441,159.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.