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Finding the Third Proportional to 761,712 and 1,118,997

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Solution

The third proportional to 761,712 and 1,118,997 is: 1,643,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,712 : 1,118,997 = 1,118,997 : x
  2. Step 2: Convert to fraction form
    761,712/1,118,997 = 1,118,997/x
  3. Step 3: Cross multiply
    761,712x = 1,118,997 × 1,118,997
  4. Step 4: Simplify right side
    761,712x = 1,252,154,286,009
  5. Step 5: Solve for x
    x = 1,252,154,286,009/761,712
  6. Step 6: Final answer
    x = 1,643,868.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.