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Finding the Third Proportional to 424,924 and 912,998

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Solution

The third proportional to 424,924 and 912,998 is: 1,961,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,924 : 912,998 = 912,998 : x
  2. Step 2: Convert to fraction form
    424,924/912,998 = 912,998/x
  3. Step 3: Cross multiply
    424,924x = 912,998 × 912,998
  4. Step 4: Simplify right side
    424,924x = 833,565,348,004
  5. Step 5: Solve for x
    x = 833,565,348,004/424,924
  6. Step 6: Final answer
    x = 1,961,681.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.