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Finding the Third Proportional to 426,972 and 924,076

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Solution

The third proportional to 426,972 and 924,076 is: 1,999,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,972 : 924,076 = 924,076 : x
  2. Step 2: Convert to fraction form
    426,972/924,076 = 924,076/x
  3. Step 3: Cross multiply
    426,972x = 924,076 × 924,076
  4. Step 4: Simplify right side
    426,972x = 853,916,453,776
  5. Step 5: Solve for x
    x = 853,916,453,776/426,972
  6. Step 6: Final answer
    x = 1,999,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.