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Finding the Third Proportional to 623,594 and 912,047

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Solution

The third proportional to 623,594 and 912,047 is: 1,333,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,594 : 912,047 = 912,047 : x
  2. Step 2: Convert to fraction form
    623,594/912,047 = 912,047/x
  3. Step 3: Cross multiply
    623,594x = 912,047 × 912,047
  4. Step 4: Simplify right side
    623,594x = 831,829,730,209
  5. Step 5: Solve for x
    x = 831,829,730,209/623,594
  6. Step 6: Final answer
    x = 1,333,928.37

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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.