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Finding the Third Proportional to 760,158 and 1,638,148

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Solution

The third proportional to 760,158 and 1,638,148 is: 3,530,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,158 : 1,638,148 = 1,638,148 : x
  2. Step 2: Convert to fraction form
    760,158/1,638,148 = 1,638,148/x
  3. Step 3: Cross multiply
    760,158x = 1,638,148 × 1,638,148
  4. Step 4: Simplify right side
    760,158x = 2,683,528,869,904
  5. Step 5: Solve for x
    x = 2,683,528,869,904/760,158
  6. Step 6: Final answer
    x = 3,530,225.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.