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Finding the Third Proportional to 763,095 and 1,657,407

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Solution

The third proportional to 763,095 and 1,657,407 is: 3,599,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,095 : 1,657,407 = 1,657,407 : x
  2. Step 2: Convert to fraction form
    763,095/1,657,407 = 1,657,407/x
  3. Step 3: Cross multiply
    763,095x = 1,657,407 × 1,657,407
  4. Step 4: Simplify right side
    763,095x = 2,746,997,963,649
  5. Step 5: Solve for x
    x = 2,746,997,963,649/763,095
  6. Step 6: Final answer
    x = 3,599,811.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.