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Finding the Third Proportional to 760,752 and 1,177,342

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Solution

The third proportional to 760,752 and 1,177,342 is: 1,822,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,752 : 1,177,342 = 1,177,342 : x
  2. Step 2: Convert to fraction form
    760,752/1,177,342 = 1,177,342/x
  3. Step 3: Cross multiply
    760,752x = 1,177,342 × 1,177,342
  4. Step 4: Simplify right side
    760,752x = 1,386,134,184,964
  5. Step 5: Solve for x
    x = 1,386,134,184,964/760,752
  6. Step 6: Final answer
    x = 1,822,057.89

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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.