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Finding the Third Proportional to 623,961 and 912,541

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Solution

The third proportional to 623,961 and 912,541 is: 1,334,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,961 : 912,541 = 912,541 : x
  2. Step 2: Convert to fraction form
    623,961/912,541 = 912,541/x
  3. Step 3: Cross multiply
    623,961x = 912,541 × 912,541
  4. Step 4: Simplify right side
    623,961x = 832,731,076,681
  5. Step 5: Solve for x
    x = 832,731,076,681/623,961
  6. Step 6: Final answer
    x = 1,334,588.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.