Finding the Third Proportional to 740,412,931,758 and 1,042,664,565,066
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Solution
The third proportional to 740,412,931,758 and 1,042,664,565,066 is: 1,468,301,468,834.42
Step by Step Solution
- Step 1: Write the proportion equation
740,412,931,758 : 1,042,664,565,066 = 1,042,664,565,066 : x - Step 2: Convert to fraction form
740,412,931,758/1,042,664,565,066 = 1,042,664,565,066/x - Step 3: Cross multiply
740,412,931,758x = 1,042,664,565,066 × 1,042,664,565,066 - Step 4: Simplify right side
740,412,931,758x = 1,087,149,395,244,270,948,974,592 - Step 5: Solve for x
x = 1,087,149,395,244,270,948,974,592/740,412,931,758 - Step 6: Final answer
x = 1,468,301,468,834.42
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.