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Finding the Third Proportional to 760,681,176 and 1,142,838,756

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Solution

The third proportional to 760,681,176 and 1,142,838,756 is: 1,716,987,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,681,176 : 1,142,838,756 = 1,142,838,756 : x
  2. Step 2: Convert to fraction form
    760,681,176/1,142,838,756 = 1,142,838,756/x
  3. Step 3: Cross multiply
    760,681,176x = 1,142,838,756 × 1,142,838,756
  4. Step 4: Simplify right side
    760,681,176x = 1,306,080,422,215,627,520
  5. Step 5: Solve for x
    x = 1,306,080,422,215,627,520/760,681,176
  6. Step 6: Final answer
    x = 1,716,987,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.