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Finding the Third Proportional to 408,325,416 and 896,012,688

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Solution

The third proportional to 408,325,416 and 896,012,688 is: 1,966,173,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,325,416 : 896,012,688 = 896,012,688 : x
  2. Step 2: Convert to fraction form
    408,325,416/896,012,688 = 896,012,688/x
  3. Step 3: Cross multiply
    408,325,416x = 896,012,688 × 896,012,688
  4. Step 4: Simplify right side
    408,325,416x = 802,838,737,056,985,344
  5. Step 5: Solve for x
    x = 802,838,737,056,985,344/408,325,416
  6. Step 6: Final answer
    x = 1,966,173,805.49

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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.