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Finding the Third Proportional to 760,808 and 1,177,440

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Solution

The third proportional to 760,808 and 1,177,440 is: 1,822,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,808 : 1,177,440 = 1,177,440 : x
  2. Step 2: Convert to fraction form
    760,808/1,177,440 = 1,177,440/x
  3. Step 3: Cross multiply
    760,808x = 1,177,440 × 1,177,440
  4. Step 4: Simplify right side
    760,808x = 1,386,364,953,600
  5. Step 5: Solve for x
    x = 1,386,364,953,600/760,808
  6. Step 6: Final answer
    x = 1,822,227.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.