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Finding the Third Proportional to 468,030 and 912,732

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Solution

The third proportional to 468,030 and 912,732 is: 1,779,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,030 : 912,732 = 912,732 : x
  2. Step 2: Convert to fraction form
    468,030/912,732 = 912,732/x
  3. Step 3: Cross multiply
    468,030x = 912,732 × 912,732
  4. Step 4: Simplify right side
    468,030x = 833,079,703,824
  5. Step 5: Solve for x
    x = 833,079,703,824/468,030
  6. Step 6: Final answer
    x = 1,779,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.