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Finding the Third Proportional to 970,948 and 1,507,541

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Solution

The third proportional to 970,948 and 1,507,541 is: 2,340,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,948 : 1,507,541 = 1,507,541 : x
  2. Step 2: Convert to fraction form
    970,948/1,507,541 = 1,507,541/x
  3. Step 3: Cross multiply
    970,948x = 1,507,541 × 1,507,541
  4. Step 4: Simplify right side
    970,948x = 2,272,679,866,681
  5. Step 5: Solve for x
    x = 2,272,679,866,681/970,948
  6. Step 6: Final answer
    x = 2,340,681.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.