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Finding the Third Proportional to 732,312 and 1,583,066

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Solution

The third proportional to 732,312 and 1,583,066 is: 3,422,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,312 : 1,583,066 = 1,583,066 : x
  2. Step 2: Convert to fraction form
    732,312/1,583,066 = 1,583,066/x
  3. Step 3: Cross multiply
    732,312x = 1,583,066 × 1,583,066
  4. Step 4: Simplify right side
    732,312x = 2,506,097,960,356
  5. Step 5: Solve for x
    x = 2,506,097,960,356/732,312
  6. Step 6: Final answer
    x = 3,422,172.46

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