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Finding the Third Proportional to 724,176 and 1,095,585

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Solution

The third proportional to 724,176 and 1,095,585 is: 1,657,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,176 : 1,095,585 = 1,095,585 : x
  2. Step 2: Convert to fraction form
    724,176/1,095,585 = 1,095,585/x
  3. Step 3: Cross multiply
    724,176x = 1,095,585 × 1,095,585
  4. Step 4: Simplify right side
    724,176x = 1,200,306,492,225
  5. Step 5: Solve for x
    x = 1,200,306,492,225/724,176
  6. Step 6: Final answer
    x = 1,657,478.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.