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Finding the Third Proportional to 761,076 and 1,000,998

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Solution

The third proportional to 761,076 and 1,000,998 is: 1,316,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,076 : 1,000,998 = 1,000,998 : x
  2. Step 2: Convert to fraction form
    761,076/1,000,998 = 1,000,998/x
  3. Step 3: Cross multiply
    761,076x = 1,000,998 × 1,000,998
  4. Step 4: Simplify right side
    761,076x = 1,001,996,996,004
  5. Step 5: Solve for x
    x = 1,001,996,996,004/761,076
  6. Step 6: Final answer
    x = 1,316,553.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.