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Finding the Third Proportional to 761,281,984 and 1,211,349,294

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Solution

The third proportional to 761,281,984 and 1,211,349,294 is: 1,927,494,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,281,984 : 1,211,349,294 = 1,211,349,294 : x
  2. Step 2: Convert to fraction form
    761,281,984/1,211,349,294 = 1,211,349,294/x
  3. Step 3: Cross multiply
    761,281,984x = 1,211,349,294 × 1,211,349,294
  4. Step 4: Simplify right side
    761,281,984x = 1,467,367,112,074,298,368
  5. Step 5: Solve for x
    x = 1,467,367,112,074,298,368/761,281,984
  6. Step 6: Final answer
    x = 1,927,494,861.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.